Question

question a side of the triangle below has been extended to form an exterior angle of 132°. find the value of x. answer attempt 1 out of 2 x = submit answer watch video show examples

Explanation:

Step1: Recall exterior - angle property

The exterior - angle of a triangle is equal to the sum of the two non - adjacent interior angles.

Step2: Set up the equation

Let the exterior angle be \(132^{\circ}\), and the two non - adjacent interior angles be \(x^{\circ}\) and \(17^{\circ}\). So, \(x + 17=132\).

Step3: Solve for \(x\)

Subtract 17 from both sides of the equation: \(x=132 - 17\).
\(x = 115\)

Answer:

\(115\)