Question

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

Answer 1

Answer:

108°

Step-by-step 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! ♡