Question

In triangle PQR,PQ = PR and angle R =50 degree ,then angle p is equal to,

a) 50 degree

b)80 degree

c)90 degree

d)100 degree
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Answer 1

°•° PQ = PR

•°• <Q = <R = 50° ( Angle opp to equal side)

In triangle PQR, by angle sum property

<P + <Q + <R = 180°

<P + 50° + 50° = 180°

<P =180° - 100°

<P = 80°

(b) 80°

Answer 2

Answer:

b) 80°

Step-by-step explanation:

We know that, angles opposite to equal sides are equal, then in ∆PQR, angle R = angle Q = 50°

Let angle P = x°

In ∆PQR, by Angle Sum Property,

angle P + angle Q + angle R = 180°

x + 50° + 50° = 180°

x + 100° = 180°

x = 180°-100°

x = 80°

Therefore, angle P = 80°