Gaurav draws a triangle APQ on a paper sheet. Sunil friend of Gaurav draws bisectors of angle P and angle Q which intersect at R. If AP =AQ and angle A = 76°, then based on the given information answer the following questions.
Answers
Answer:
26
Step-by-step explanation:
180- 90 72/6
I hope this ans is useful
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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