Question

problem 17: (first taught in lesson 31) find x. after you enter your answer press go. x =

Explanation:

Step1: Use 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.
Let the exterior angle be \(98^{\circ}\), and the two non - adjacent interior angles be \(x^{\circ}\) and \(32^{\circ}\). So, we have the equation \(x + 32=98\).

Step2: Solve the equation for \(x\)

Subtract 32 from both sides of the equation \(x + 32=98\).
\(x=98 - 32\).

Answer:

\(x = 66\)