Question

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

Answer 1

Step 1: Find x using exterior angle property

p = 60°

[∵ Alternate interior angles are equal]

x + p = 130°

[∵ Exterior angle property]

⇒ x = 130°- 60°

= 70°

Step 2: Find y using angles in a straight line

60° + x + y = 180°

[∵ Angle in a straight line is 180°]

y = 180°- x - 60°

=180°- 70°- 60°

=180°- 130°

=50°

Hence, the unknown angles x = 70°, y = 50° and p = 60°