m angle a = 45 degree in the parallelogram abcd. find the measures of angle b angle c and angle d. geometry

AC = 7 cm, BD = 6 cm and the angle included by them is 60 o . (i) AC = 7 cm and draw its perpendicular bisector to get mid-point O. (ii) At O make COX = 60 o and produce it both ways. (iii) With O as centre and radius 3 cm cut OX at D and B. (iv) Join AB, BC,..

Definition - When two straight lines meet at a point they form an angle. The point at which the arms meet (O) is known as the vertex of the angle. The amount of turning from one arm (OA) to other (OB) is called the measure of the angle ( AOB) and written as h..

Construction of an angle equal to a given angle. Bisecting an angle To construct angles 60 o , 120 o and 30 o . To construct angles 90 o , 45 o and 135 o . To construct angles 75 o and 105 o . Drawing the perpendicular ..

When two straight lines meet at a point they form an angle. The point at which the arms meet (O) is known as the vertex of the angle. The amount of turning from one arm (OA) to other (OB) is called the measure of the angle ( AOB) and written as ..

Question: In the following diagrams parallel lines are marked by arrows in the same direction. Transversal is also drawn. Find the missing angles and provide the reason for each. Note: (No proof is required but the essential steps of working must be given) Answer: (..

Question: In a quadrilateral ABCD, AB=AD and BC>CD. Prove that . (Hint: Join BD) Answer: Given: To prove: Construction: Join BD. Proof: In DBC, BC>CD ( given)..

Question: Find the equation of the line, which cuts off an intercept of 5 units on negative direction of y-axis and makes an angle of 135 o with the positive direction of x-axis. Answer: Here m = 135 o = tan (180 o - 45 o ) = - tan45..

In developing the geometry of parallel lines, observe the three lines arrangement 'l', 'm' and 't'. In the diagram 'l' and 'm' are coplanar. They may be parallel as in figure 't' intersects 'l' and 'm' at two distinct points 'A' and 'B' and at '..

Transversal - In developing the geometry of parallel lines, observe the three lines arrangement 'l', 'm' and 't'. In the diagram 'l' and 'm' are coplanar. They may be parallel as in figure 't' intersects 'l' and 'm' at two distinct points 'A' and 'B..

Construction - 13 - To construct an isosceles when altitude CD to the base AB is 2 cm and the vertical angle C = 90 o (1) Take any straight line XY and at any point D on it, draw cutting off DC = 2 cm. Join DC. (2) At C, on either side of DC, construct a..