Question

13 fill in the blank 1 point find the measure of the missing interior angle below. 54° 115° m∠x= type your answer... previous

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 \(E = 115^{\circ}\), and the two non - adjacent interior angles be \(A = 54^{\circ}\) and \(x\). So, \(E=A + x\).

Step2: Solve for \(x\)

Rearrange the formula \(x=E - A\). Substitute \(E = 115^{\circ}\) and \(A = 54^{\circ}\) into the formula. Then \(x=115^{\circ}-54^{\circ}\).

Answer:

\(61\)