Answer:
m<P = 31°
Explanation:
Use this symbol < for angle, not <.
<P and <Q are complementary.
That means that their measures add to 90°.
m<P + m<Q = 90°
Now we substitute 7x + 3 for m<P and 16x - 5 for m<Q.
7x + 3 + 16x - 5 = 90
Solve for x.
23x - 2 = 90
23x = 92
x = 4
m<P = 7x + 3 = 7 × 4 + 3 = 31
Answer: 31°