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8. find the missing angle measure

Question

  1. find the missing angle measure

Explanation:

Step1: Recall property of parallelogram

In parallelogram CDEF, opposite - angles are equal and adjacent - angles are supplementary. $\angle C$ and $\angle D$ are adjacent angles.

Step2: Use supplementary - angle formula

The sum of adjacent angles in a parallelogram is $180^{\circ}$. Let $\angle C = 70^{\circ}$, and we want to find $\angle D$. We use the formula $\angle C+\angle D = 180^{\circ}$.

Step3: Solve for $\angle D$

$\angle D=180^{\circ}-\angle C$. Substitute $\angle C = 70^{\circ}$ into the formula: $\angle D = 180 - 70=110^{\circ}$.

Answer:

$110^{\circ}$