the measure of two complementary angles are 16z-9 and 4z+3 find the measures of the angles

Answer 1

Two Angles are complementary if they add up to 90 ° (a Right Angle).

Or :

A + B = 90 °

In this case :

A = 16 z - 9 °

B = 4 z + 3 °

A + B = 90 °

16 z - 9 ° + 4 z + 3 ° = 90 °

20 z - 6 ° = 90 ° Add 6 ° to both sides

20 z - 6 ° + 6 ° = 90 ° + 6 °

20 z = 96 ° Divide both sides by 20

20 z / 20 = 96 ° / 20

z = 4.8 ° = 4 ° 48 ´

A = 16 z - 9 °

A = 16 * 4.8 ° - 9 ° =

76.8 ° - 9 ° =

67.8 ° = 67 ° 48 ´

B = 4 z + 3 ° =

4 * 4.8 ° + 3 ° =

19.2 ° + 3 ° = 22.2 ° = 22 ° 12 ´

Solution :

A = 67.8 ° = 67 ° 48 ´

B = 22.2 ° = 22 ° 12 ´