Question

The sides AB and CD of a quadrilateral ABCD are extended to points P and Q respectively. Is ∠ADQ + ∠CBP = ∠A + ∠C? Give reason.

Answer 1

Answer:

From the figure..

ABD.... We get

ABD + ADB = b - 1

(from properties of triangle...

from ∆BCD

<CBD + <CDB = <a---(2)...

Adding 1 and 2

<a + <b =<X +<Y