Q15 of 95 Page 15

In Fig. 14.111, PQRS is an isosceles trapezium. Find x and y.

Given,


PQRS is an isosceles trapezium


PS = RQ ( Given)


= ∠P+∠S = 180° (sum of adjacent angles are supplementary)


= 2x + 3x = 180°


= 5x = 180°


= x =


∵∠P =∠Q ∵ PS=RQ


= 2x = y


= 2×36 = y


= y = 72°


More from this chapter

All 95 →
13

If measures opposite angles of a larallelogram are (60-x)° and (3x-4)°, then find the measures of angles of the parallelogram.

 14

In a parallelogram ABCD, the bisector of ∠A also bisects BC at X. Find AB : AD.

 16

In Fig. 14.112, ABCD is a trapezium. Find the values of x and y.

 17

In Fig. 14.113, PQRS is a rhombus in which the diagonal PR is produced to T. If ∠SRT=152°, find x,y and z.