Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

15 the measure of the exterior angle of the triangle is

Question

15 the measure of the exterior angle of the triangle is

Explanation:

Step1: Apply the exterior angle theorem

The exterior angle theorem states that an exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles.
Let the exterior angle be \(\angle2\). The two non - adjacent interior angles are \(64^{\circ}\) and \(75^{\circ}\).

Step2: Calculate the measure of \(\angle2\)

$$ LATEXBLOCK0 $$

Answer:

\(139^{\circ}\)