find m∠q. write your answer as an integer or as a decimal rounded to the nearest tenth. m∠q = °

Explanation:

Step1: Recall tangent - ratio formula

In right - triangle (RQS), (\tan Q=\frac{RS}{QS}). Given (RS = 5) and (QS=7).

Step2: Calculate the tangent of angle (Q)

(\tan Q=\frac{5}{7}\approx0.714).

Step3: Find the measure of angle (Q)

(Q=\arctan(0.714)). Using a calculator, (Q\approx35.5^{\circ}).

Answer:

(35.5)