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lapo4ka [179]
3 years ago
12

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

Mathematics
1 answer:
defon3 years ago
8 0
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
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<em>Additional comment</em>

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