An angle measures 10 more than four times a number. It’s supplement is two more than three times the number. What is the measure of each angle in degrees

4x +10 + 3x +2 = 180 (since they're supplementary, the angles together =180)

7x +12 =180  (combine like terms on left side, and subtract 12 from both sides)

7x = 168 (divide both sides by 7 to isolate x)

x= 24

angle 1 = 4(24)+10 (plug x into the expression for each angle, and solve)

96 +10

angle 1 = 106 degrees (the measure of the first angle)

angle 2 = 3(24) +2

72 +2

angle 2 = 74 (the measure of the second angle)

106 +74 =180 (the two add up to 180, so they're supplementary)

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