Geometry Math

(ANGLES)

Please Explain Good! Thanks if you explain.

The measurement of an angel is 2/3 the measurement of its supplement. Find the measurements of the angle and it’s supplement.

The. angle is 72 and the supplement is 108

Step-by-step explanation:

Supplementary agnles are two angles with a sum of 180. So for example, two right angles would be supplementary.

Once again lets break this down by putting it into an equation. The supplement will be x. We know that 180 - x ( the supplement) will be equal to the angle but the angle is 2/3 the supplement.

Your equation should look like this x = 2/3 (180 - x).

Then we're going to multiply both sides by 3 to get 3x = 2 (180 - x)

You should distribute the 2 on the right side to then get 3x = 360 - 2x

You want to get x by itself but you can't make it just disappear because you need to keep your equation balanced. You're going to need to add 2x to both sides making your equation 5x = 360.

then you're going to divide 360 by 5 to get x = 72

subtract 72 (your angle) from 180 to get 108 which is your supplement.

If it's a bit confusing feel free to msg me and I'll do my best to explain it a bit better ^^;