Question

whats the answer of the following question
1. in the given figure PQ|| RS and PQ=RS. prove that triangle PUQ = triangle SUR​

Answer 1

Step-by-step explanation:

Let the two lines PS and QR intersect at point U.

Since the ray UP stands on the line QR, we have:

$\tt{\angle puq + \angle sur = 180 \degree(linear \: pair)}$

Again, since the ray UQ stands on the line PS, we have:

$\tt { \angle puq + \angle suq = 180 \degree(linear \: pair)}$

$\tt{ \therefore \angle pur + \angle puq = \angle puq + \angle suq}$

$\tt {\rightarrow \angle pur = \angle suq}$

Similarly,

$\tt{ \angle puq = \angle sur}$

Hence, Proved