ACT Math · Angles and polygons
A triangle's exterior angle is formed by extending one side. The two remote interior angles measure 50° and 65°. What is the measure of…
A triangle's exterior angle is formed by extending one side. The two remote interior angles measure 50° and 65°. What is the measure of the exterior angle?
Answer and explanation
Answer: B: 115°
The exterior angle theorem says an exterior angle of a triangle equals the sum of the two remote (non-adjacent) interior angles. So the exterior angle is , choice B. Check: the third interior angle is , and its supplement is . Choice A () is the adjacent interior angle, not the exterior one. Choice C () doubles the angle. Choice D () is the sum of all three interior angles, not an exterior angle.
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