2006-09-19 13:43:59 · 3 answers · asked by lynnette o 1 in Science & Mathematics ➔ Mathematics
Complementary angles have a total sum of 90 degrees. So if you have a 60 degree angle, its complement is 30 degrees.
Now apply this to your problem: you have two angles, the sum of which must add up to 90. That means, add the two!
(16z - 9) + (4z + 3) = 90 <---definition of a complement
16z - 9 + 4z + 3 = 90
(16z + 4z) - (9 + 3) = 90
20z - 6 = 90
20z = 96
z = 4.8
You're not done just yet. You only have your value of z. Remember, one angle is defined as 16z - 9 and one is defined as 4z + 3. So plug your z value into both:
First angle:
16(4.8) - 9 = 67.8
Second angle:
4(4.8) + 3 = 22.2
Check: do they both add up to 90?
67.8 + 22.2 = 90
Yay!
2006-09-19 13:51:35 · answer #1 · answered by Dumblydore 3 · 0⤊ 0⤋
A + B = 90
A = 16z - 9
B = 4z + 3
(16z - 9) + (4z + 3) = 90
16z - 9 + 4z + 3 = 90
20z - 6 = 90
20z = 96
z = 4.8
A = 16(4.8) - 9 = 76.8 - 9 = 67.8
B = 4(4.8) + 3 = 19.2 + 3 = 22.2
ANS : 22.2° and 67.8°
2006-09-19 22:11:35 · answer #2 · answered by Sherman81 6 · 0⤊ 1⤋
16z-9+4z+3=90
20z=96
solve.
2006-09-19 20:51:48 · answer #3 · answered by otexasgirlo 3 · 0⤊ 1⤋