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Let mA = 40°. If B is a complement of A, and C is a supplement of B, find these measures.

User Charmae
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2 Answers

5 votes

Answer:

B = 50

C = 130

Explanation:

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User Kevin Bedell
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If B is a complement of A this means that the sum of the measures of A and B is 90 degrees.

mA + mB = 90
mB =90 - mA
mB = 90 - 40 = 50

Thus, the measure of angle B is 50 degrees.

If C is a supplement of B then, the sum of the measures of B and C is 180 degrees.
mC + mB = 180
mC = 180 - mB
mC = 180 - 50 = 130

Therefore, the measure of angle C is 130 degrees.
User Ross Burton
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