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Angle A and angle B are complementary angles. If m<A = x, which expression represents the number of degrees in angle B?

(1) x - 180

(2) x - 90

(3) 180 - x

(4) 90 -x

Verified Answer :

NotIntelligent

Complimentary just means that they add to be 90, so you take 90 degrees and subtract the angle you already have in order to get the complementary angle

abidemiokin

The expression that represents the number of degrees in angle B is 90 - x

The sum of complementary angles is 90 degrees

Let the angles be m<A and m<B

Given the following angles

m<A = x

We need to get the measure of angle B

For complementary angles, m<A + m<B = 90

x + m<B = 90

m<B = 90 - x

Hence the expression that represents the number of degrees in angle B is 90 - x

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