Question

In A PQR, P - Q = 30 degrees and Q - R = 30 degrees Find the measure of each angle, P=? R = ? Q=?​

Answer 1

Step-by-step explanation:

Solution

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It has been given that,

PQ=PR

So, it is an isosceles triangle, hence ∠Q=∠R. let it be x

Now, we know that the sum of the angles of a triangle =180

∘

.

So,

∠P+∠Q+∠R=180

∘

30

∘

+x+x=180

∘

2x=180

∘

−30∘

x=

2

150

∘

=75

∘

Hence ∠Q=∠R=75

∘