SOLUTION: An angle measures 48 more than the measure of a supplementary angle. What is the measure of each angle ?

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Question 1135166: An angle measures 48 more than the measure of a supplementary angle. What is the measure of each angle ?
Found 4 solutions by MathLover1, josgarithmetic, greenestamps, ikleyn:
Answer by MathLover1(20850) About Me  (Show Source):
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let one angle be alpha and its supplementary angle beta
these are two angles whose sum is 180°
so, alpha%2Bbeta=180°

if angle alpha measures 48 more than the measure of a supplementary angle beta}, we have
alpha=beta%2B48 °
then, we have beta%2B48%2Bbeta=180°
2beta=180-48°
2beta=132°
beta=132%2F2°
beta=66°
now find angle alpha
alpha=66%2B48 °
alpha=114 °


Answer by josgarithmetic(39630) About Me  (Show Source):
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x, "An angle"
180-x, the supplement

The description is x=-48%2B%28180-x%29.

You solve.

Answer by greenestamps(13209) About Me  (Show Source):
You can put this solution on YOUR website!


It should be noted that, in fact, the way the problem is presented, it is impossible to solve.
An angle and ITS supplementary angle have measures that add to 180 degrees.

An angle and A supplementary angle have measures that do not have any defined relationship.

Answer by ikleyn(52879) About Me  (Show Source):
You can put this solution on YOUR website!
.
An angle measures 48 highlight%28degrees%29 more than the measure of highlight%28cross%28a%29%29 the supplementary angle.
What is the measure of each angle ?
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            Please pay attention on how I edited your post to make sense.



The solution by @MathLover1 is correct.

The solution by @josgarithmetic is incorrect.