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From the adjacent figure find the values of <PRS (in degree).

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85^o

75^o

65^o

55^o

answer is A.

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Detailed Solution

Exterior angle = Sum of opposite angles on the inside. When the exterior angle's remote interior opposite angles are given, this formula can be used to find it. The sum of a triangle's exterior angles is 360°.

By exterior angle property, an exterior angle of a triangle is equal to the sum of the two interior opposite angles.

Then, in triangle PQR
$∠ Q P R + ∠ P Q R = ∠ P R S$
$35 ° + 50 ° = ∠ P R S$
$∠ P R S = 85 °$

Hence, option 1 is correct.

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