Complementary and Supplementary Angles Answers

Based on the diagram, which reason justifies this statement?If ∠CEF is complementary to ∠DCF, then∠DCF ≅ ∠FEG.

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

mC = [___]°

complementarycongruentrightsupplementary

1 and 23 and 13 and 2

additionreflexivesubstitutionsymmetric

123

By the congruent supplements theorem, what can you conclude?

Which angle pairs are supplementary? Check all that apply.

Use the diagram to identify the special angle pairs. ADC and BDC are . A pair of complementary angles is angles .

Which statements are true regarding the diagram?

What is the measure of EDH?

What is the measure of CBE?

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

Based on the diagram, which reason justifies this statement?If ∠CEF is complementary to ∠DCF, then∠DCF ≅ ∠FEG.

By the congruent supplements theorem, what can you conclude?

Complete the missing parts of the paragraph proof. By the definition of angles, the sum of the measures of angles 1 and 2 is 180 degrees. Likewise, the sum of the measures of angles is 180 degrees. By the property, m1 + m2 = m3 + m2. Subtract the measure of angle from each side. You get m1 = m3, or 1 3, by the definition of congruence.