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3 years ago

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

2 answers:

7 0

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.

Mazyrski [523]3 years ago

4 0

the answer is

mb =50

mc=130

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Mnenie [13.5K]

Answer: n = 75; p = 30

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We can use the elimination method to solve these two equations.

1. Multiply the first equation by 2 so that 10p will cancel out:

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4. Subtract 300 from 450: 5p = 150

5. Divide by 5 to get p alone: p = 30

We can test if this is correct by plugging our answers into the second equation:

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This is a true statement, which means that our answers are correct.

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3 years ago

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