Answer:
A) 52
Step-by-step explanation:
If < 1 and < 2 are complementary angles, then it means that the sum of their measures add up to 90°.
< 1 + < 2 = 90°
12x + 4 + 9x + 2 = 90°
21x + 6 = 90°
21x + 6 - 6 = 90° - 6
21x = 84°
21x/21 = 84°/21
x = 4
Substitute the value of x = 4 into < 1 and < 2:
m < 1: 12x + 4 = 12(4) + 4 = 52°
m < 2: 9x + 2 = 9(4) + 2 = 38°
Therefore, the correct answer is A) m < 1 = 52°.
