Question

1. abcd is a parallelogram. if m∠d = 85, then what is m∠c?

105
85
170
95

Explanation:

Step1: Recall property of parallelogram

Adjacent angles of a parallelogram are supplementary. That is, $\angle D+\angle C = 180^{\circ}$.

Step2: Solve for $\angle C$

Given $\angle D = 85^{\circ}$, we have $\angle C=180^{\circ}-\angle D$. Substituting the value of $\angle D$, we get $\angle C = 180 - 85=95^{\circ}$.

Answer:

$95$