Question

the measures of two supplementary angles are in the ratio 6:4 which valie is the measure of the larger angle

Answer 1

108°

Explanation:

What are supplementary angles?

• Supplementary angles are angles that add up to 180°.

Now, to solve this problem we can turn this into an algebraic equation of
`6x + 4x = 180`. 6x will be the measure of the larger angle, but we have to find the value of x first.

Step 1: Combine like terms.

• 
  `(6x+4x) = 180`
• 
  `10x = 180`

Step 2: Divide both sides by 10.

• 
  `10x/10 = 180/10`
• 
  `x = 18`

Step 3: Plug in 18 as x in 6x.

• 
  `6(18)`
• 
  `108`

Step 4: Plug in 18 as x in 4x.

• 
  `4(18)`
• 
  `72`

Therefore, the answer is 108°.

Have a lovely rest of your day/night, and good luck with your assignments! ♡