Question

3 times the complement of an angle is 30 more than the supplement of the original angle. What is the measure of the angle?

Answer 1

What's a complement of an angle?

Answer 2

= 90 degrees

Answer 3

Supplement?

Answer 4

180

Answer 5

\[3(90)+30=180x\]

Answer 6

or is the supplement added?

Answer 7

The complement of an angle is (90-x), not just 90, right?

Answer 8

I'm pretty sure of this.

Answer 9

Also, supplement of an angle is (180-x) not just 180, where x is the angle.

Answer 10

ah, that makes sense. listen to @mathbrz

Answer 11

\[3(90-x) = (180-x) + 30\]

Answer 12

so 60 degrees?

Answer 13

I got x = 30.

Answer 14

This part I do know,\[3(90-x)=(180-x)+30\]\[3(90)+3(-x)=180-x+30\]\[270-3x=210-x\]\[270-210=3x-x\]\[2x=60\]\[x=30\]

Answer 15

ok thanks i see what i did wrong

Answer 16

gj

Answer 17

Thanks for your help @doc.brown @mathbrz

Answer 18

yw :) have a nice evening. going to bed