Given a quadrilateral ABCD and angle D is 145 degrees, what is the measure of angle C?
Check the final answer first, then review the worked steps.
Problem
Given a quadrilateral ABCD and angle D is 145 degrees, what is the measure of angle C?
Step-by-step solution
In a parallelogram, consecutive angles are supplementary. Therefore, $\angle C + \angle D = 180^{\circ}$. Given $\angle D = 145^{\circ}$, we have $\angle C = 180^{\circ} - 145^{\circ} = 35^{\circ}$.
Answer
$35^{\circ}$