Question

question 9 of 10 given parallelogram efgh and ∠e = 45°, what is the measure of ∠f? a. 45° b. 90° c. 135° d. 105° e. 70° f. cannot be determined

Explanation:

Step1: Recall property of parallelogram

Adjacent angles in a parallelogram are supplementary.

Step2: Set up the equation

Let $\angle E = 45^{\circ}$ and $\angle F$ be adjacent to $\angle E$. Then $\angle E+\angle F = 180^{\circ}$.

Step3: Solve for $\angle F$

$\angle F=180^{\circ}-\angle E = 180^{\circ}- 45^{\circ}=135^{\circ}$

Answer:

C. $135^{\circ}$