SOLUTION: Please help me to solve this equation: The measure of two complementary angles are 16z-9 and 4z+3. Find the measures of the angles. please explain to me how you got the answer

Click here to see ALL problems on Angles

Question 484179: Please help me to solve this equation: The measure of two complementary angles are 16z-9 and 4z+3. Find the measures of the angles.

please explain to me how you got the answer.
thanks
Found 2 solutions by ankor@dixie-net.com, chessace:
Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website!
The measure of two complementary angles are 16z-9 and 4z+3.
Find the measures of the angles.
:
Two complementary angles add up to 90, so you have a simple equation
(16z-9) + (4z+3) = 90
Remove brackets, combine like terms
16a + 4z - 9 + 3 = 90
20z - 6 = 90
20z = 90 + 6
z =
z = 4.8
:
Find the angles using 4.8 for z
Angle 1:
16(4.8) - 9 =
76.8 - 9 = 67.8 degrees
Angle 2:
4(4.8) + 3 =
19.2 + 3 = 22.2 degrees
:
Check that 67.8 + 22.2 = 90, as it should
:
Was this explained well enough for you?

Answer by chessace(471) (Show Source):
You can put this solution on YOUR website!
First one has to know what "complementary" means, which (if degrees are used instead of radians) is X + Y = 90.
Subtitute to get 16z-9 + 4z+3 = 90
Add like terms (powers of z) to get 20z - 6 = 90
Both +6: 20z = 96
Both /20: z = 96/20 = 24/5
Sub this for z in the 2 angle expressions:
16(24/5)-9 = (386-45)/5 = 339/5 = 67.8
4(24/5)+3 = (96+15)/5 = 111/5 = 22.2
Important double check: these add to 90.