The measure of an angle's supplement is 44 degrees less than the measure of the angle. What are the measures of the angle and its supplement?

Answer 1

The angle is 112 degrees and the supplement is 68 degrees.

Let the angle’s measure be represented by #x# and the supplement’s measure be represented by #y#.

Since supplementary angles add to 180 degrees,

#x+y=180#

Since the supplement is 44 degrees less than the angle,

#y+44=x#
We can substitute #y+44# for #x# in the first equation, since they are equivalent.
#y+44+y=180#
#2y+44=180#
#2y=136#
#y=68#

Substitute 68 for y in one of the original equations and solve.

#68+44=x#
#x=112#
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Answer 2

Let the measure of the angle be x degrees. Then, the measure of its supplement is (180 - x) degrees. According to the given condition, (180 - x) = x - 44. Solving this equation: 180 - x = x - 44 180 + 44 = x + x 224 = 2x x = 112 So, the measure of the angle is 112 degrees, and the measure of its supplement is 180 - 112 = 68 degrees.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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