Question

5. The measures of two complementary angles are

(3y - 1) and (4y + 7) "
a. Determine the value of y.
b. Calculate the measure of each of the angles.

Answer 1

Explanation:

measures of complementary angles always add up to 90°

(3y - 1) + (4y + 7) = 90

3y + 4y - 1 + 7 = 90

7y + 6 = 90

7y = 90 - 6

7y = 84

y = 84/7

y = 12

To Calculate the measure of each of the angles replace variable y with 12

3(12) - 1 = 35 degrees

4(12) + 7 = 55 degrees

35 + 55 = 90°