For the given measures of exterior angle and angles in a triangle , the unknown measure of angle x is equal to 23°.
As given in the question,
In a given triangle,
Measure of exterior angle is equal to 135°
Exterior angle +Adjacent interior angle = 180°
⇒ 135° + Adjacent interior angle = 180°
⇒ Adjacent interior angle = 180° -135°
⇒ Adjacent interior angle = 45°
In a triangle,
Sum of opposite interior angles = Measure of exterior angle
⇒ x° + 112° = 135°
⇒ x° = 135° -112°
⇒ x° = 23°
Therefore, for the given measures of exterior angle and angles in a triangle , the unknown measure of angle x is equal to 23°.
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