Can the measure of an exterior angle of a triangle ever equal the measure of its adjacent interior angle? Explain in 2-3 sentences.

Using the concept of supplementary angles, it is found that the measure of an exterior angle of a triangle is equal to the measure of it's adjacent interior angle if both measure 90º.

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Yes it is possible to have an exterior angle equal to its adjacent interior angle neighbor. It is only possible in a right triangle and only for the 90 degree angle.

If the interior angle is 90 degrees, then the exterior angle is also 90 degrees since 180-90 = 90. Put another way, the two adjacent angles (90 and 90) add to 90+90 = 180.

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