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