Question

Solve for the unknown values : x = _____ degrees y = _____ degrees

Answer 1

Answer:

Step-by-step explanation:

Answer 2

Given:

One interior angle is 50°.

Exterior angle is 95°.

To find:

The value of x and y.

Solution:

Exterior angle property of triangle:

The measure of an exterior angle is equal to the sum of the measures of the opposite interior angles.

⇒ 50° + y = 95°

Subtract 50° from both sides.

⇒ 50° + y - 50° = 95° - 50°

⇒ y = 45°

Sum of the adjacent angles in the straight line is 180°.

⇒ x + 95° = 180°

Subtract 95° from both sides.

⇒ x + 95° - 95° = 180° - 95°

⇒ x = 85°

The value of x is 85° and y is 45°.