anonymous
  • 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°
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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mathstudent55
  • mathstudent55
Do you know what supplementary angles are?
anonymous
  • anonymous
180 degrees
Kash_TheSmartGuy
  • Kash_TheSmartGuy
Angles which have a sum of 180degrees!

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More answers

mathstudent55
  • mathstudent55
Correct. Two angles whose measures add up to 180 degrees.
mathstudent55
  • mathstudent55
Let's call for now the angles x and y. From the fact they are supplementary, we know: x + y = 180
anonymous
  • anonymous
yes
anonymous
  • anonymous
90 plus 90
anonymous
  • anonymous
are u there
mathstudent55
  • mathstudent55
90 plus 90 is an example of two supplementary angles Now let's see what our supplementary angles measure.
anonymous
  • anonymous
so the answer would be c then
mathstudent55
  • 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
  • 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
  • mathstudent55
Correct. The answer is C. 125 deg.

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