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Find the supplementary angle in which one angle is 40° more than the other angle.​

User Rodrigogq
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Let's tackle this question by understanding the properties of supplementary angles.

Supplementary Angles

Supplementary angles are a pair of angles that add up to 180 degrees. When two angles are supplementary, they form a straight line, and together, they create a straight angle.

Let's denote the measure of one angle as "x" degrees. According to the problem, the other angle is 40 degrees more than this angle, so the measure of the second angle can be represented as "x + 40" degrees.

Since supplementary angles add up to 180 degrees, we can set up the equation:

x + (x + 40) = 180

Now, solve for "x":

2x + 40 = 180

Subtract 40 from both sides:

2x = 140

Divide by 2:

x = 70

Now that we have the value of "x," which represents one angle, we can find the measure of the other angle:

Second angle = x + 40 = 70 + 40 = 110 degrees

Answer:

The two supplementary angles are 70 degrees and 110 degrees.

User Ftisiot
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