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- anonymous

degree measure of an angle is 40° less than 3 times the degree measure of its supplementary angle, what is the degree measure of the angle?
A.
50°
B.
55°
C.
125°
D.
130°

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- anonymous

- chestercat

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- mathstudent55

Do you know what supplementary angles are?

- anonymous

180 degrees

- Kash_TheSmartGuy

Angles which have a sum of 180degrees!

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- mathstudent55

Correct.
Two angles whose measures add up to 180 degrees.

- mathstudent55

Let's call for now the angles x and y.
From the fact they are supplementary, we know:
x + y = 180

- anonymous

yes

- anonymous

90 plus 90

- anonymous

are u there

- mathstudent55

90 plus 90 is an example of two supplementary angles
Now let's see what our supplementary angles measure.

- anonymous

so the answer would be c then

- mathstudent55

Once again, the angles measure x and y.
x + y = 180
Let's solve this equation for y:
y = 180 -x
That means the two angles measure x and 180 - x

- mathstudent55

Now we use the given info.
"an angle is 40° less than 3 times the degree measure of its supplementary angle"
x = 3(180 - x) - 40
3(180 - x) - 40 + 180 - x = 180
540 - 3x - 40 - x = 0
-4x + 500 = 0
-4x = -500
x = 125

- mathstudent55

Correct. The answer is C. 125 deg.

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