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13. <1 and < 2 are supplementary. If <1 = 2y = 9 and m<2 = 3y-4, what is the measure of <1?
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m<1 = 35
m<1 = 101
m<1 = 13
m<1 = 79

Respuesta :

nuhulawal20

Given that ∠1 and ∠2 are supplementary, the measure of ∠1 is 79 degree.

Hence, option D)79° is the correct answer.

What is the measure of ∠1?

Supplementary angles refer to the pair of angles that sum up to 180 degree.

Given the data in the question;

  • ∠1 and ∠2 are supplementary
  • ∠1 = 2y + 9
  • ∠2 = 3y - 4
  • Measure of ∠1 = ?

Since ∠1 and ∠2 supplementary angles, they will  sum up to 180 degree.

∠1 + ∠2 = 180°

(2y + 9) + (3y - 4) = 180

Solve for y

2y + 9 + 3y - 4 = 180

5y + 5 = 180

5y = 180 - 5

5y = 175

y = 175/5

y = 35

Hence, the measure of ∠1 will be;

∠1 = 2y + 9

∠1 = 2(35) + 9

∠1 = 70 + 9

∠1 = 79°

Given that ∠1 and ∠2 are supplementary, the measure of ∠1 is 79 degree.

Hence, option D)79° is the correct answer.

Learn more about supplementary angles here: https://brainly.com/question/28448363

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