The exterior angle PRS of triangle PQR is 105 . if Q =70 ,find angle P .is angle PRS > anglel P
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Answer:
Exterior angle PRS = 105 degree
Exterior angle states that the degree of exterior angle is equal to the two opposite interior angles.
Therefore angle RPQ + angle PQR = angle PRS
angle RPQ + 70 = 105
angle RPQ (angle P) = 105 - 70
= 35 degrees - answer
35 < 105
Therefore, angle P is not greater than angle PRS.
The interior angle cannot be greater than the opposite exterior angle.
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