Question

question 4 solve for \x.\ 8.g.5 answer: 112° 65°

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 \(112^{\circ}\), and the two non - adjacent interior angles be \(x^{\circ}\) and \(65^{\circ}\). So, we have the equation \(x + 65=112\).

Step2: Solve for \(x\)

Subtract \(65\) from both sides of the equation \(x + 65=112\).
\(x=112 - 65\)

Answer:

\(x = 47\)