Question

find the measure of the exterior angle. the measure of the exterior angle is □°.

Explanation:

Step1: Apply the exterior angle theorem

The exterior angle theorem states that the measure of an exterior angle of a triangle is equal to the sum of the measures of the two non - adjacent interior angles. So, \(2a=(a + 10)+44\).

Step2: Solve the equation for \(a\)

$$
LATEXBLOCK0
$$

Step3: Find the measure of the exterior angle

Substitute \(a = 54\) into \(2a\). Then \(2a=2\times54 = 108\).

Answer:

\(108\)