Question

17
the measure of the exterior angle of the triangle is
(3x + 6)°
(2x + 18)°
24°

Explanation:

Step1: Use 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. So, \(3x + 6=(2x + 18)+24\).

Step2: Solve the equation for \(x\)

$$
LATEXBLOCK0
$$

Step3: Find the measure of the exterior angle

Substitute \(x = 36\) into \(3x + 6\). Then \(3\times36+6=108 + 6=114\).

Answer:

\(114\)