SOLUTION: two angles form a linear pair. the measure of one angle is (3x+7)°. the measure of the other angle is (5x-3)°. what is value of x?

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Question 759432: two angles form a linear pair. the measure of one angle is (3x+7)°. the measure of the other angle is (5x-3)°. what is value of x?
Answer by MathLover1(20850) About Me  (Show Source):
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a linear pair of angles are supplementary because they always add to 180°
if the measure of one angle is %283x%2B7%29° and the measure of the other angle is %285x-3%29°, then

%283x%2B7%29%2B%285x-3%29=180°
3x%2B7%2B5x-3=180°
8x%2B4=180°
8x=180-4°
8x=176°
x=176%2F8°
x=22°
so, the measure of one angle is %283x%2B7%29=3%2A22%2B7=66%2B7=73°
the measure of the other angle is %285x-3%29=5%2A22-3=110-3=107°