Question

8 find the measure of the \?\ or \x\. 76° 55° ? =

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 two non - adjacent interior angles be \(a = 76^{\circ}\) and \(b=55^{\circ}\). The formula for the exterior angle \(x\) (the angle we want to find) is \(x=a + b\).

Step2: Calculate the value of \(x\)

Substitute \(a = 76\) and \(b = 55\) into the formula \(x=a + b\).
\(x=76+55\)
\(x = 131\)

Answer:

\(131\)