2.
In the given figure ,if the exterior angle is 135º, then p is
a)67.5° b)75°c)105° d)82.50
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2.
In the given figure ,if the exterior angle is 135º, then p is
a)67.5° b)75°c)105° d)82.50
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Answer:
P = 90°
Step-by-step explanation:
Given: = 135°
PQ = PR
>angle PRQ + ext. angle = 180° ( since it is a straight line)
PRQ + 135° = 180°
PRQ = 180° - 135° = 45°
Now, angle Q = angle R = 45° (since PQ = PR)
Therefore,
>angle P + angle Q = ext. angle (since
ext. angle is equal to the sum of interior opposite angles)
angle P + 45° = 135°
angle P = 135° - 45° = 90°