angle d has a measure between 0° and 360° and is coterminal with a -920° angle. what is the measure of angle…

Explanation:

Step1: Recall coterminal - angle formula

Coterminal angles differ by a multiple of 360°. Let (n) be an integer. We want to find (n) such that (- 920^{\circ}+n\times360^{\circ}) is between (0^{\circ}) and (360^{\circ}).

Step2: Find the value of (n)

We start by setting up the inequality (0^{\circ}\leq - 920^{\circ}+n\times360^{\circ}<360^{\circ}). First, solve the left - hand side of the inequality (0\leq - 920 + 360n), which gives (920\leq360n), so (n\geq\frac{920}{360}\approx2.56). Then, solve the right - hand side (-920 + 360n<360), which gives (360n<360 + 920=1280), so (n<\frac{1280}{360}\approx3.56). Since (n) is an integer, (n = 3).

Step3: Calculate the coterminal angle

Substitute (n = 3) into (-920^{\circ}+n\times360^{\circ}). We get (-920^{\circ}+3\times360^{\circ}=-920^{\circ}+1080^{\circ}=160^{\circ}).

Answer:

B. (160^{\circ})