If m ∠ 1 = 35° , ∠ 1 and ∠ 2 are complementary, m ∠ 2 = m ∠ 3, and m ∠ 3 = m ∠ 4, what is m ∠ 4? a. 35° b. 55° c. 90° d. 145°

The answer is B, or 55˚

When angles are complementary, that means that their sum equals 90˚. First, we need to find out what the measure of angle 2 is, so to do this, we can subtract the sum of angle 1 and angle 2 by the measure of angle 1

Their sum is 90, and angle 1 is 35. So angle 2 = 90 – 35 = 55.

So now we know angle 2. And since angle 2 = angle 3, and angle 3 = angle 4, angle 4 is the same as angle 2. So, angle 4 = 55˚

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