opposite angles

In the figure given below, the shaded triangles are congruent and isosceles. Each angle opposite to the sides forming the pentagon measures 72 degrees. The area of each shaded triangle is 'A'. Find the area of unshaded region in the figure. => 27 4 A or 8 A or 5 A or 26 3 A..

If the length of the leg opposite the 30° angle in a 30°- 60° - 90° triangle is 21 cm, then the length of the side opposite the 60° angle is => 21 3 cm or 24 cm or 6 3 cm or 6 cm..

Which of the following is / are correct with respect to a parallelogram? I. Diagonals bisect each other. II. Adjacent angles are supplementary. III. Opposite sides are congruent and parallel. => I only or I, II, and III or II only or III only..

A tree stands vertically on the bank of a river. The angle of elevation of the top of the tree from a point on the other bank directly opposite to the tree is measured as 70°. The angle of elevation of the top of the tree from 15 ft behind this point on the same ba..

Which statement helps you conclude that the quadrilateral shown is a rhombus? I. It has two pairs of parallel opposite sides. II. It has all its sides congruent. III. It has four right angles. => I only or I and II or II only or I, II, and III..

What is the perpendicular segment from a vertex to the opposite side in a triangle?. => median or altitude or base or angle bisector..

Tom and Sam are on the opposite sides of a tower of 160 meters height. They measure the angle of elevation of the top of the tower as 40° and 55° respectively. Find the distance between Tom and Sam. => 308 m or 313 m or 303 m or 306 m..

In ΔABC, if a = 4, b = 3, and c = 5, then find the measure of the angle opposite to the longest side to the nearest degree. => 0 o or 90 o or 60 o or 45 o..

If the length of the hypotenuse of a 30° - 60° - 90° triangle is 14 3 cm, then the length of the leg opposite the 60° angle is => 3 cm. or 2 3 cm. or 8 3 cm. or 21 cm...

Two angles having a common vertex and a common arm, such that the other arms of these angles are on opposite sides of the common arm, are called adjacent angles. ..