X Angle 1 and Angle 2 are supplementary, Solve for x if angle 1 = 2x -3 and/3 angle 2 = 3x + 8. Then find the measure of each angle. *

9514 1404 393

  ∠1 = 67°; ∠2 = 113°

Step-by-step explanation:

Given:

  ∠1 = 2x-3

  ∠2 = 3x +8

  ∠1 +∠2 = 180

Find:

  ∠1, ∠2

Solution:

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°

6 meters

step-by-step explanation: