Question

The measure of one angle is 47(degrees) less than the measure of its supplement. Find the measure of each angle.

Answer 1

What are supplementary angles?

Answer 2

180 degrees

Answer 3

x=(180-x)-47

Answer 4

Right.
Supplementary angles are angles whose measures add up to 180 degrees.

If one angle measures x and its supplement measures y, then
x + y = 180.

Ok?

Answer 5

yeah i know that i just didnt get dis question set up

Answer 6

Now try to express the angle of measure y in terms of x.

Start with x + y = 180 and solve for y:

x + y = 180
-x - x
------------------
y = 180 - x

Now you see that for two supplementary angles, if one is x, the other one is 180 -x.

Answer 7

Now you follow what the problem tells you:

The measure of one angle is 47(degrees) less than the measure of its supplement.
x = 180 - x - 47

or simply:

x = 180 - x - 47

Solve for x. then find 180 - x to find the measure of the supplement.

Answer 8

so i got to 2x=133

Answer 9

Good. One more step to get x.

Answer 10

Oh ok i got it thx man

Answer 11

wlcm