Question

The measures of two complementary angles are 6y+3 and 4y−13 . Find the measures of the angles.

Answer 1

y = 10 degrees

work:
6y + 3 + 4y - 13 = 90
6y + 4y = 90 + 13 - 3
10y = 100
y = 10

Answer 2

63° and 27°

2 complementary angles sum to 90°, hence

6y + 3 + 4y - 13 = 90

10y - 10 = 90 ( add 10 to both sides )

10y = 100 ( divide both sides by 10 )

y = 10

The angles are

6y + 3 = (6 × 10 ) + 3 = 60 + 3 = 63°

4y - 13 = (4 × 10 ) - 13 = 40 - 13= 27°

note that 63° + 27° = 90°