Q10 of 113 Page 128

In Fig. 5.11, if AB || CD, ∠APQ = 50° and ∠PRD = 130°, then ∠QPR is

∠APQ = 50°(Given)

⇒ ∠PQR = 50°(Alternate interior angles)

∠PRD = 130°(Given)

∠PRD = (180^°- 130°) = 50^° (Forms a Linear pair)

Sum of interior angles of a triangle = 180^°

∠ QPR = 180^°- ∠PQR-∠PRD

∠ QPR = 180^°-100^°

∠ QPR = 80^°

The angles x – 10° and 190° – x are

In Fig. 5.10, the value of x is

In Fig. 5.12, lines l and m intersect each other at a point. Which of the following is false?

If angle P and angle Q are supplementary and the measure of angle P is 60°, then the measure of angle Q is