Question 175388
let x = the angle
180 - x = the supplement of the angle.
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the angle measures 15 degrees more than twice its supplement.
x = 15 + (2 * (180-x))
simplify to get:
x = 15 + 360 - 2x
add x to both sides to get:
3x = 375
divide both sides by 3 to get:
x = 125 degrees
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if x = 15 + 360 - 2x, then
x = 15 + 360 - 250 = 375 - 250 = 125 degrees.
this confirms the original equation so the answer is good.
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the measure of the angle is 125 degrees.
this, however, is not what they asked.
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the measure of the supplement is 180 - 125 degrees = 55 degrees
the answer is:
the measure of the supplement is 55 degrees.
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to confirm again:
x = 15 + 2*55 = 15 + 110 = 125 degrees.
answer is confirmed.
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