FAN AND MEDAL
The angles shown below are supplementary:

Question

FAN AND MEDAL
The angles shown below are supplementary:

anonymous · Answer

attachment

anonymous · Answer

What is the value of x?

 10°
 11°
 20°
 22°

anonymous · Answer

@aloud @GreatGuy

thesmartone · Answer

What does supplementary mean?

anonymous · Answer

Two Angles are Supplementary if they add up to 180 degrees.

anonymous · Answer

@TheSmartOne

thesmartone · Answer

Ok, so what does that mean about our 2 angles-- 10x and 80 -- in the picture?

anonymous · Answer

idk that's why i am asking for help

thesmartone · Answer

Can you set those 2 angles to add up to 180? Since they are supplementary, that way you can solve for x...

anonymous · Answer

Well if they're supplementary angles, and supplementary angles are angles that add up 180 degrees, I would think that adding those two angles would get you 180.

anonymous · Answer

yes...

thesmartone · Answer

So we get

$\sf 10x + 80 = 180$

anonymous · Answer

So $$\large angle_{1}+angle_{2}=180$$ Does that seem like a good representation of supplementary angles?

thesmartone · Answer

First, we will need to isolate the x.

So what do we do about the '80' ? Do we add it or subtract it?

anonymous · Answer

idk

thesmartone · Answer

well you are adding it on the left hand side. What is the opposite of addition?