SocialTwist Tell-a-Friend

Ask a Question? Get an Answer!


Question: R is the In-center of triangle ABC. ∠ARD is [ Given x = 43, y = 73.]



A ) 58o
B ) 60o
C ) 59.5o
D ) 63o

Steps to derive

1 ∠A = 180o – (43o + 73o) = 64o
 [Triangle angle sum theorem.]

2 ∠RAD = 12 (∠A) = 12(64o) = 32o
 [AR is the angle bisector of ∠ A.]

3 ∠ARD = 180o – (90o + 32o) = 58o



Hence the right answer is Option A

Click Here To Go Back


Few Other Questions -

  • Subtract:61.3 - 34.8..
  • Subtract:52.74 - 8.92..
  • Subtract:39.05 - 27.8..
  • Which of the following set is arranged from the least to the greatest?..
  • Which of the following set is arranged from the least to the greatest?..
  • Which of the following set is arranged from the least to the greatest?..
  • Which of the following set is arranged from the least to the greatest?..
  • Which of the following set is arranged from the least to the greatest?..
  • Choose the number sentence that has the same value as 816 + 42...
  • Choose the number sentence that represents 627 + 29...
  • Identify the number sentence that represents 482...
  • Find the first five multiples of 7...
  • Find the first seven multiples of 6...
  • Find the first three multiples of 2...
  • Find the first five multiples of 8...
  • Select the first six multiples of 4...
  • What is the value of the expression 24 - (4 + 7) + 7?..
  • Find the value of the expression 37 + 55 ÷ (10 - 5)...
  • Find the value of the expression (10 + 10) ÷ 2 - 5...
  • Find the value of the expression (9 + 21) ÷ 3 - 3...
  • Estimate the measure of the angle...
  • Estimate the measure of the angle...
  • Estimate the measure of the angle...
  • Tim had 136 bags of corn. He sold away 107 bags. Which of these operations would help you ..
  • Pick the appropriate expression that will result in 250...
  • Choose the number sentence that represents 1,186...
  • Choose the number sentence that represents 1,251...
  • Choose the number sentence that represents 1,476...
  • Identify the expression that represents 1,768...
  • Which number is 6 spaces to the left of 3 on the number line?..
  • Which number is 8 spaces to the left of 2 on the number line?..
  • Which number is 9 spaces to the left of 5 on the number line?..
  • What will be the temperature in degrees fahrenheit, if it drops 5 degrees?..
  • What will be the temperature in degrees celsius, if it drops 30 degrees?..
  • Which of the numbers best suits 'profit of $76'?..
  • Which of the numbers best suits 'hike of $60'?..
  • Which number is 6 spaces to the right of - 5 on the number line?..
  • Which number is 4 spaces to the right of - 2 on the number line?..
  • What will be the temperature in degrees fahrenheit, if it drops 15 degrees?..
  • Simplify:8 × 18..
  • Simplify:7 × 27..
  • Simplify:275 × 3 - 150 × 3..
  • A sports store sells a tracksuit for $63. The store marked it up by 5%. Find the store's c..
  • A bookseller sells an encyclopedia at a cost of $18. The actual store's cost is $16. Find ..
  • John buys 4.85 pounds of oranges. If the oranges cost $0.68 per pound, estimate the amount..
  • Charges on credit card account are $8.56, $12.31, $34.20, $121, $203.78. Estimate the tota..
  • Estimate the quotient of 6.149 divided by 0.61...
  • Cost of 2 m of a fabric is $11.98. Estimate the cost of 6.15 m of the fabric...
  • Jim sold 5.79 pounds of peanuts. If the peanut costs $0.73 per pound, estimate the amount ..
  • Andrew can eat 4 pizzas in 20 minutes. At this rate, how many pizzas can he eat in 60 minu..
  • 4 rides on a horse cost $10. Find the number of rides Andy enjoyed, if he pays a total of ..
  • The cost of 6 burgers is $13. Find the cost of 18 burgers...
  • Josh can write 4 pages in 16 minutes. At this rate, how many pages can he write in 48 minu..
  • Choose the correct mathematical expression for the following verbal description. Tom has ..
  • Choose the correct mathematical expression for the following verbal description. N is grea..
  • Which of the inequalities best represents the given sentence? Height of a person should be..
  • Which of the following best describes the sentence?The total cost of x items at $6 each is..
  • Which of the following best describes the sentence? A number y is greater than 3 more than..
  • Which of the choices represents the solution for the inequality, 9x > 81?..
  • Which numbers are the solutions of the inequality, x + 5 < 3?..
  • Which numbers are the solutions of the inequality, x - 7 > 2?..
  • Which of the choices represents the solution for the inequality, 3x > 9?..
  • Which numbers are the solutions of the inequality, x + 5 < 3?..
  • Which inequality is represented by the graph?..
  • Identify a graph that shows x ≤ 5...
  • Which of the graphs represents the inequality, a + 3 > 2?..
  • Which of the graphs represents the inequality, b > - 5?..
  • Identify a graph that represents the inequality, h - 7 ≤ - 5...
  • A taxi company's fares are displayed in the table. How much would Sally pay if she travels..
  • The numbers of stamps Robert collects during the first, second, and third week are 3, 7, a..
  • The table shows the relationship between the rental charges of a car and the number of day..
  • Jim deposited $20 initially in his bank account. Then he deposited $15 every week. The tot..
  • A taxi company's fares are displayed in the table. How much would Sally pay if she travels..
  • Which of the following best describes the relationship between the hours and wages shown i..
  • The table represents the relationship between x and y.x- 1123y5789Which of these equations..
  • Which of the equations best represents the rule for the table?x1234y8162432..
  • Identify the equation that represents the rule for the pattern shown in the table.x3579y18..
  • Identify the equation that represents the table.x0248y2346..
  • The table shows the total number of days in different numbers of weeks. Which strategy wou..
  • The table shows the total number of wheels in different numbers of cars. Identify the stra..
  • The table shows the total number of months in different numbers of years. Which strategy w..
  • The table shows the total number of wheels in different numbers of bicycles. Identify the ..
  • The table shows the total number of minutes in different numbers of hours. Which strategy ..
  • The table shows the area and side length of three squares. Area of the square (A cm2) Leng..
  • The table shows the area and side length of three squares. Area of the square (A cm2) Leng..
  • The table shows the area and side length of three squares. Area of the square (A cm2) Leng..
  • The table shows the area and side length of three squares. Area of the square (A cm2) Leng..
  • The table shows the area and side length of three squares. Area of the square (A cm2) Leng..
  • Ashley has 156 candies. She gave 79 to her brother. About how many candies does she have?..
  • John scored 423 points and his brother scored 326 points. About how many more points did J..
  • Which of the graphs best suits the inequality y < x - 4?..
  • Which of the graphs best suits the inequality y < x + 4?..
  • Which of the graphs best suits the inequality y < x - 2?..
  • Choose the graph for the equation y = 2x...
  • Which graph best suits the equation y = 12x?..
  • Which graph represents the equation y = - 13x + 1?..
  • Which graph represents the equation y = 2x + 1?..
  • Identify the next term in the pattern.1, 4, 9, 16, 25, ___, . . ...
  • Identify the missing number in the pattern.9, 27, 81, ___, 729, . . ...
  • Identify the next term in the pattern.1, 4, 16, ___, 256, . . ...
    		•