Geometry
posted by dennis .
the measures of two complementary angles are 16z9 and 4z+3. Find the measures of the angles.

Two Angles are Complementary if they add up to 90 °
In this case :
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
z = 96 ° / 20 = 4.8 ° = 4 ° 48 ´
16 z  9 ° = 16 * 4.8 °  9 ° = 76.8 °  9 ° = 67.8 ° = 67 ° 48 ´
4 z + 3 ° = 4 * 4.8 ° + 3 ° = 19.2 ° + 3 ° = 22. 2 ° = 22 ° 12 ´