Question

In the figure, PMQ, PNR, MOR and NOQ are straight lines. It is given that  △PQN ≅ △PRM. Find x and y.​

Answer 1

PRM +MPR+PMR=180。(angle sum of triangle)
70。+35。+PMR=180。
PMR=75。
x+PQR=180。(angle on straight line)
x=105。

MQO=QOM
QMO+2MQO=180。(angle sum of triangle)
105+2MQO=180。
MQO=37.5。

MQO+y+MPN=180。（angle sum of triangle)
37.5+70+y=180。
y=72.5