Find the value of x in the shown figure.

# Find the value of x in the shown figure.

1. A

30o

2. B

40o

3. C

45o

4. D

50o

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### Solution:

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 = 70o

By the angle sum property, we have

∠P + ∠Q + ∠R = 180o

⇒ x + 70o + 70o = 180o

⇒ x + 140o = 180o

⇒ x = 180o − 140o

⇒ x = 40o

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