Question

An angle measures 152° more than the measure of its supplementary angle. What is the measure of each angle?

Answer 1

Answer:

14° and 166°

Step-by-step explanation:

Ok, so a supplementary angle is 180°.

Let's say one angle is x and the other angle is x+152.

We know these angles add up to a supplementary angle (180°) so...

x+(x+152)=180

x+x+152=180

2x+152=180

2x=28

x=14

So now we know one angle is 14°, we also know the other angle is x+152, knowing that x=14 we can plug it in 14+152= 166° for the other angle.

Hope this helps :)

Answer 2

Two supplementary angles when added together need to equal 180 degrees.
Let the first angle = X
The second angle would then be X - 152
Add them together to equal 180:
X + X - 152 = 180
Simplify:
2X -152 = 180
Add 152 to each side:
2X = 332
Divide both sides by 2:
X = 332 / 2
X = 166
The first angle = X = 166 degrees.
The second angle = X - 152 = 166 - 152 = 14 degrees.
The angles are 166 and 14