In PQR, sides PQ and PR are equal. If P = 30 , then find the measure of Q.
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Answer:
Given,
PQR is a ∆le in which PQ = PR.
- As the two sides are equal it's an isosceles triangle and Angle PQR = Angle PRQ.
- Let's, Angle R and Angle Q = x
So,
=> Angle P + Angle Q + Angle R = 180° (Sum of angles of a triangle)
=> 30°+x+x = 180°
=> 2x = 180°-30°
=> x = 150°/2
=> x = 75°.
:- Angle Q = 75°.
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