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hammer [34]
3 years ago
13

X Angle 1 and Angle 2 are supplementary, Solve for x if angle 1 = 2x -3 and/3

Mathematics
1 answer:
Alona [7]3 years ago
5 0

9514 1404 393

Answer:

  ∠1 = 67°; ∠2 = 113°

Step-by-step explanation:

<u>Given</u>:

  ∠1 = 2x-3

  ∠2 = 3x +8

  ∠1 +∠2 = 180

<u>Find</u>:

  ∠1, ∠2

<u>Solution</u>:

Substituting the first two relations into the third, we have ...

  (2x -3) +(3x +8) = 180

  5x +5 = 180 . . . eliminate parentheses

  x + 1 = 36 . . . . . divide by 5

  x = 35

Then the angles are ...

  ∠1 = 2x-3 = 2(35) -3

  ∠1 = 67°

  ∠2 = 3x +8 = 3(35) +8

  ∠2 = 113°

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