Question

The measures of ∠x and ∠y in the following figure are respectively.

Options

• 30°, 60°

• 40°, 40°

• 70°, 70°

• 70°, 60°

Answer 1

70°, 60°

Explanation:

As we know,

Measure of exterior angle = Sum of the opposite interior angles

⇒ ∠R = ∠P + ∠Q

⇒ 120° = x + 50°  ...[∵ ∠R = 120°]

⇒ x = 120° – 50°

⇒ x = 70°

Now, the sum of the interior angles of a triangle is 180°

∴ x + y + 50° = 180°

⇒ 70° + y + 50° = 180°

⇒ 120° + y = 180°

⇒ y = 180° – 120°

⇒ y = 60°