Question

find the unknown angle measure.
figure is not to scale
x =
question help: video

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. Here, the exterior angle is \(77^{\circ}\), and the two non - adjacent interior angles are \(43^{\circ}\) and \(x^{\circ}\). So, we have the equation \(77 = 43+x\).

Step2: Solve for \(x\)

Subtract \(43\) from both sides of the equation \(77 = 43+x\). Using the subtraction operation \(x=77 - 43\).

Answer:

\(34\)