geometry
posted by haaris on .
the measure 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 ° (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 ´