Answer:
4 1/4
Step-by-step explanation:
Complementary angles add up to 90 degrees.
Thus if 12q - 9 and 8q + 14 are complementary,
12q - 9 + 8q + 14 = 90.
Combining like terms, we get:
20q + 5 = 90
20q = 85
Thus, q = 85/20, or 17/4, or 4 1/4
Answer:
42 and 48
Step-by-step explanation:
∵ Two angles are complementary to each other if their sum is 90°,
Given,
12q - 9 and 8q + 14 are complementary angles,
By the above statement,
12q - 9 + 8q + 14 = 90
Combine like terms,
20q + 5 = 90
Subtract both sides by 5,
20q = 85
Divide both sides by 20,
q = 4.25,
Thus, the angles are,
12(4.25) - 9 and 8(4.25) + 14
⇒ 42 and 48
