Q. 1155.0( 1 Vote )

In ∆PQR of Fig. 6.32, PQ = PR. Find the measures of Q and R.


Answer :

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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