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

Sagot :

Renkneeidn

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 [tex]6x + 4x = 180[/tex]. 6x will be the measure of the larger angle, but we have to find the value of x first.

Step 1: Combine like terms.

  • [tex](6x+4x) = 180[/tex]
  • [tex]10x = 180[/tex]

Step 2: Divide both sides by 10.

  • [tex]10x/10 = 180/10[/tex]
  • [tex]x = 18[/tex]

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

  • [tex]6(18)[/tex]
  • [tex]108[/tex]

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

  • [tex]4(18)[/tex]
  • [tex]72[/tex]

Therefore, the answer is 108°.

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