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Angle A is 3x° and angle B is 8x°. They are supplementary. What are the measurements of each angle?

Answer 1

Evelyn Arboleda

#angleA=(540˚)/11,angleB=(1440˚)/11#

Since #angleA# and #angleB# are supplementary, we know that

#mangleA+mangleB=180#

We also know that

#mangleA=3x# #mangleB=8x#

Thus, we can substitute these values into the original equation.

#3x+8x=180#

Simplify and solve for #x#.

#11x=180#

#x=180/11#

To find the actual degree measures, plug our newfound value of #x# into our #3x# and #8x# expressions.

#mangleA=3x=3(180/11)=(540˚)/11#

#mangleB=8x=8(180/11)=(1440˚)/11#

(These angles are approximately #49.1˚# and #130.9˚#).

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Answer 2

Caroline Aucoin

Angle A = 45°, Angle B = 135°

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