Q. 1155.0( 1 Vote )

# In ∆PQR of Fig. 6

Given: P = 30° ; PQ = PR

Formula Used/Theory:-

If 2 sides of triangle are equal

Then it will isosceles triangle

And its base angle will also be equal

Angle sum property

Sum of all angles of triangle is 180°

In Δ PQR

As PQ = PR

Hence;

Δ PQR is isosceles triangle

Q = R

By angle sum property

Sum of all angles of triangle is 180°

P + Q + R = 180°

30° + Q + Q = 180°

2Q = 180° - 30°

2Q = 150°

Q = = 75°

As Q = R

R = 75°

Result:- Q = R = 75°

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