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°.
