Question

The measures of two complementary angles are 16z-9 and 4z + 3. Find the measures of the angles.

Answer 1

By definition, two complementary angles must add up to 90. Therefore, we have

Answer 2

16z-9+4z+3=90.

Answer 3

do you get a decimal? i tried to solve, i got 20z-6=90
i added 6 to both sides and got
20z=96
then z =4.8?

Answer 4

i'm not sure if it is supposed to be a decimal

Answer 5

We combine like terms and get 20z-6=90

Answer 6

Add 6 to both sides to get 20z=96 and now divide both sides by 20 gives us z=96 / 20.

Answer 7

oh ok... so it is a decimaL? thanks i was confused on that

Answer 8

Now using substitution, in the first equation we get (16*96/20)-9 which reduces to 67.8.This means the second angle must be 90-67.8, or 22.2, degrees.

Answer 9

i like u

Answer 10

We can verify by substituting 96 / 20 in the second equation: (4 * 96 / 20 ) + 3

Answer 11

simplifies to 22.2.

Answer 12

The Final answer is 22.2.

Answer 13

thank you

Answer 14

Hope u got it now!!! Cheers :-)!!!