Question

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Explanation:

Step1: Use parallelogram angle property

In parallelogram \(DEFG\), opposite angles are equal, so \(m\angle DEF = m\angle DGF = 113^\circ\).

Step2: Find consecutive angle measure

Consecutive angles in a parallelogram are supplementary. So \(m\angle EFG = 180^\circ - m\angle DGF = 180^\circ - 113^\circ = 67^\circ\).

Step3: Calculate the sum of the angles

Add the two angle measures together.
\(m\angle DEF + m\angle EFG = 113^\circ + 67^\circ\)

Answer:

C. \(180^\circ\)