Supplementary angles add up to 180
so (2x + 3) + (3x + 2) = 180
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Solve x:
2x + 3 + 3x + 2 = 180
5x + 5 = 180
5x = 175
x = 35
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Find the angles:
One angle = (2x + 3) = 2(35) + 3 = 73°
Other angle = (3x + 2) = 3(35) + 2 = 107°
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Answer: The two angles are 73° and 107°
Because this angles are supplementary,
(2x+3)+(3x+2) = 180
5x+5=180
5x=175
x=35
2x+3=2*35 + 3 = 73⁰
3x+2=3*35+2 =107⁰
Answer is B.
