Question

Apply the properties of isosceles and equilateral triangles to find the unknown angles in the given figure:

Answer 1

In fig.,

130° = x + p ........(Exterior angle of a triangle is equal to the sum of its interior opposite angles)

∵ Lines are parallel ........(Given)

∴ p = 60° ..............(Alternate angle)

and y = a

But a + 130° = 180° ..........(Linear pair)

⇒ a = 180° − 130° = 50°

∴ y = 50°

and x + p = 130°

⇒ x + 60° = 130°

⇒ x = 130° − 60° = 70°

Hence x = 70°, y = 50° and p = 60°