Question

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the measure of the exterior angle equals the sum of the measures of the non - adjacent interior angles. what is ( mangle5 )? ( mangle5 = 110^{circ} ) does ( mangle5 ) equal the sum of the measures of its non - adjacent interior angles? explain. yes, because ( 50^{circ}+60^{circ}=110^{circ} ). no, because ( 70^{circ}+50^{circ}
eq110^{circ} ). no, because ( 70^{circ}+60^{circ}
eq110^{circ} ).

Explanation:

Step1: Identify non - adjacent interior angles

The non - adjacent interior angles to \( \angle5 \) are \( 50^{\circ} \) and \( 60^{\circ} \).

Step2: Calculate the sum

\( 50^{\circ}+60^{\circ}=110^{\circ}\) which is equal to \( m\angle5 = 110^{\circ}\)

Answer:

Yes, because \( 50^{\circ}+60^{\circ}=110^{\circ}\)