Question

what is measure of x? find the value of x. x =

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.
Let the exterior angle be \(134^{\circ}\), and the two non - adjacent interior angles be \(x\) and \(35^{\circ}\). So, \(x + 35^{\circ}=134^{\circ}\)

Step2: Solve for \(x\)

Subtract \(35^{\circ}\) from both sides of the equation \(x + 35^{\circ}=134^{\circ}\).
\(x=134^{\circ}-35^{\circ}\)
\(x = 99^{\circ}\)

Answer:

\(99\)