which measure is of an angle that is coterminal with a 135° angle?\n45°\n90°\n495°\n585°

Explanation:

Step1: Recall coterminal - angle formula

Coterminal angles are found by the formula $\theta\pm360^{\circ}n$, where $\theta$ is the given angle and $n$ is an integer.

Step2: Test each option

For option C: Let $\theta = 135^{\circ}$ and $n = 1$. Then $\theta+360^{\circ}n=135^{\circ}+360^{\circ}\times1 = 495^{\circ}$.

Answer:

C. $495^{\circ}$