2 years ago

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

Mathematics

1 answer:

Alona [7]2 years ago

5 0

9514 1404 393

Answer:

∠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°

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