Question

The measure of the supplement of an angle is 4 times the measure of the angle. What is the measure of each angle?

Answer 1

original angle = a
supplement angle = b
4a = b
a + b = 180
you follow so far?

Answer 2

yes

Answer 3

so substituting 4a for b gives you:
a + 4a = 180
can you finish it?

Answer 4

nope

Answer 5

5a = 180
a = 36
that's your original angle
36 x 4 = 144
that's your supplimentary angle
to check your work you can do 36 + 144 which does equal 180
You get it?

Answer 6

how did you get 36?????

Answer 7

a + 4a = 5a
5a = 180
divide both sides by 5
a = 36

Answer 8

when doing problems like this it helps to think of each angle in relation to the other angle. you can draw a picture to help you as well.

Answer 9

I get it now thank you!

Answer 10

Anytime, good luck with your studies :)