Find the value of x in the shown figure. - Sri Chaitanya Infinity Learn Best Online Courses for NCERT Solutions, CBSE, ICSE, JEE, NEET, Olympiad and Class 6 to 12

We know that in an isosceles triangle, the angles opposite the equal sides are equal.

Since ΔPQR is an isosceles with PQ = PR.

∴ ∠Q = ∠R = 70^o

By the angle sum property, we have

∠P + ∠Q + ∠R = 180^o

⇒ x + 70^o + 70^o = 180^o

⇒ x + 140^o = 180^o

⇒ x = 180^o − 140^o

⇒ x = 40^o

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