Which statement regarding the interior and exterior angles of a triangle is true? An exterior angle is supplementary to the adjacent interior angle. An adjacent interior angle is supplementary to a remote interior angle. A remote interior angle is congruent to the exterior angle. An exterior angle is supplementary to the remote interior angle.

Respuesta :

The correct answer is:

An exterior angle is supplementary to the adjacent interior angle.

Explanation:

An exterior angle of a triangle and its adjacent interior angle form a linear pair. This means they form a straight line, and a straight line has a measure of 180°. Since they combine for a total of 180°, this means they are supplementary.

A triangle has three sides and three angles

The true statement is: (a) an exterior angle is supplementary to the adjacent interior angle.

The angles in a triangle add up to 180 degrees.

Similarly, adjacent angles add up to 180 degrees.

The above statements means that:

An exterior angle is supplementary to the adjacent interior angle, and they both add up to 180 degrees

Hence, the true statement regarding the interior and exterior angles of a triangle is (a)

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