Question

gaurav draws a triangle APQ on a paper sheet . arun gauravs friend draws bisector od angle P and angle Q which intersect at R . if AP=AQ and angle A = 76 degree than what is the measure of angle RPQ​

Answer 1

Answer:

26

Step-by-step explanation:

180-90+76/2

Answer 2

Given :  Gaurav draws a triangle APQ on a paper sheet . Arun Gaurav's friend draws bisector of angle P and angle Q which intersect at R .  

AP=AQ and angle A = 76 degree

To Find :  the measure of angle RPQ​

Solution "

Using triangle angle sum

=> ∠A + ∠P + ∠Q = 180°

AP=AQ

=> ∠P = ∠Q   in a triangle angles opposite to equal sides are equal

=> ∠A + ∠P + ∠P = 180°

=> 76° + ∠P + ∠P = 180°

=> 2∠P = 104°

=> ∠P =52°

∠RPQ is the bisector of ∠P

=> ∠RPQ = ∠P/2

=> ∠RPQ = 52°/2

=> ∠RPQ = 26°

Hence  the measure of angle RPQ​ = 26°

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