Math, asked by astrieluna24, 3 months ago

5. An angle is 39 degrees less than twice another. If the two angles are supplementary, what are the angles?

Anonymous: he key hinges on knowing the definition of "supplement".
Two angles are supplementary if the sum of the two angles equals 180.
.
Let x = measure of the angle
then
180-x = supplement of the angle

.
Then from: "The measure of an angle's supplement is 24 less than twice the measure of the angle" we get
180-x = 2x-24
180 = 3x-24
204 = 3x
68 degrees = x
.
supplement then is
180-68 = 112 degrees

Answers

Answered by imking456789

Answer:

Let "one angle" have measurement x. Then the other is 180-x, because of the supplementary fact.

But also, said angle can be expressed as 2x - 36, according to the first clause in the second sentence (in spite of its grammatical awkwardness).

Solve 180 - x = 2x - 36.

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