Question

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complete the statement. the measure of the exterior angle equals the sum of the measures of the non - adjacent interior angles. what is ( mangle5 )? ( mangle5=square^{circ} )

Explanation:

Step1: Recall 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.

Step2: Identify the non - adjacent interior angles for \(\angle5\)

For \(\angle5\), the non - adjacent interior angles are \(50^{\circ}\) and \(60^{\circ}\)

Step3: Calculate \(m\angle5\)

\(m\angle5=50 + 60\)
\(m\angle5 = 110\)

Answer:

\(110\)