in the given figure, if the exterior angle is 135degree then angleP is
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180 - 135 = 45
Therefore the E. Angle is 45 degree.
Step-by-step explanation:
Given PQ = PR. Then we know that if sides are equal then angles opposite to them are also equal.
So angle PRQ = angle PQR.
Let angle PRQ = x
then angle PQR = x.
We know that angle at a straight line is 180 degrees. Then
135+ angle PRQ = 180
135 + x = 180
x = 180 - 135
x = 45
So angle PQR = PRQ = x = 45
Then in triangle PQR, sumof all angles is 180
So angle P + angle Q + angle R = 180
Angle P + 45 + 45 = 180
Angle P + 90 = 180
Angle P = 90
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