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An angle measures 70° more than the measure of a supplementary angle. What Is the measure of each angle?

Answer 1

Zoe Austin

#55^@" and "125^@#

#• " Supplementary angles sum to "180^@#

#"let one angle be "x#

#"then the other angle is "x+70#

#"summing the 2 angles gives"#

#x+x+70=180#

#2x+70=180#

#"subtract 70 from both sides"#

#2x=180-70=110#

#"divide both sides by 2"#

#x=110/2=55#

#"thus the angles are "55^@" and "55+70=125^@#

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Answer 2

Asher Friedman

Let x be the measure of the supplementary angle.

The given angle measures 70° more than the supplementary angle, so its measure is x + 70°.

Since the angles are supplementary, their measures sum up to 180°.

[ x + (x + 70) = 180 ]

Solve for x:

[ 2x + 70 = 180 ]

[ 2x = 180 - 70 ]

[ 2x = 110 ]

[ x = \frac{110}{2} ]

[ x = 55 ]

So, the measure of the supplementary angle is 55°.

Then, the measure of the given angle is:

[ x + 70 = 55 + 70 = 125 ]

So, the measure of the given angle is 125°.

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