Question

Apply The Properties Of Isosceles and equilateral Triangles To find the unknown angles in the given figure.

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Answer 1

Answer:

(vi) In the Fig. (vi)

a = b (Angles opposite to equal sides)

∴ y = 120°

But a + 120° = 180° (Linear pair)

⇒ a = 180° – 120° = 60°

∴ b = 60°

But x + a + b = 180° (Angles of a triangle)

⇒ x + 60° + 60° = 180°

⇒ x + 120° = 180°

∴ x = 180° – 120° = 60°

B = z + 25

(Exterior angle of a triangle is equal to the sum of its interior opposite angles)

⇒ 60° = z + 25°

⇒ z = 60° – 25° = 35°

Hence x = 60°, y = 120° and z = 35°