Complementary and Supplementary Angles

Question 1

Which angle pairs are supplementary? Check all that apply.

Revolt · Accepted Answer

∠4 and ∠3; ∠4 and ∠5; ∠3 and ∠6

Question 2

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

Revolt · Accepted Answer

supplementary angles; Selection 1: supplementary angles; Selection 2: ACD and BCD

Question 3

✔ ACD and BCDBCE and ACDECA and ACDDBC and ACE

Revolt · Accepted Answer

ACD and BCD

Question 4

Which statements are true regarding the diagram?

Revolt · Accepted Answer

[image 1] GNH and [image 2] HNJ are complementary.; [image 1] KNL and [image 2] LNM are complementary.; m [image 1] HNK + m [image 2] KNL = 180°

Question 5

What is the measure of EDH?

Revolt · Accepted Answer

50°

Question 6

What is the measure of CBE?

Revolt · Accepted Answer

72°

Question 7

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

Revolt · Accepted Answer

Part 1: 50; Part 2: 130

Question 8

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

Revolt · Accepted Answer

Complements of the same angle are congruent.

Question 9

By the congruent supplements theorem, what can you conclude?

Revolt · Accepted Answer

[image 1] FBC [image 2] [image 3] DBG

Question 10

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.

Revolt · Accepted Answer

supplementary; Selection 1: supplementary

Complementary and Supplementary Angles Answers

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