Question

8. In the adjacent figure,
PQ = SR, QT = RT,
angle PQT = angle SRT
Prove that
(i) PT = ST
(ii) angle PTQ = angle STR
​

Answer 1

Step-by-step explanation:

(I) if two sides and a angle of two triangles are equal then, third side is also equal due to SAS congruence cretrion

in triangle PQT and SRT

PQ=SR

QT=RT

angle PQT =SRT

So, PT =ST

proved

(ii) PQ=RS

QT=RT

PT=ST

So, triangle PQT=SRT

It's all sides and angles are equal

Then, angle PTQ = STR