Lesson 2: Complementary and Supplementary Angles

Question 1

Which angle pairs are supplementary? Check all that apply.

Revolt · Accepted Answer

B: ∠4 and ∠3; C: ∠4 and ∠5; E: ∠3 and ∠6

Question 2

Complete the missing parts of the paragraph proof.

Revolt · Accepted Answer

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 meas: supplementary; 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 meas: 3 and 2; 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 meas: substitution; 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 meas: 2

Question 3

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

Revolt · Accepted Answer

D: supplementary angles

Question 4

Which statements are true regarding the diagram?

Revolt · Accepted Answer

A: GNH and HNJ are complementary.; C: KNL and LNM are complementary.; D: mHNK + mKNL = 180°

Question 5

What is the measure of EDH?

Revolt · Accepted Answer

C: 50°

Question 6

What is the measure of CBE?

Revolt · Accepted Answer

B: 72°

Question 7

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

Revolt · Accepted Answer

A: Complements of the same angle are congruent.

Question 8

By the congruent supplements theorem, what can you conclude?

Revolt · Accepted Answer

B: FBC DBG

Question 9

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

D: supplementary

Question 10

✔ ACD and BCDBCE and ACDECA and ACDDBC and ACE

Revolt · Accepted Answer

A: ACD and BCD

Lesson 2: Complementary and Supplementary Angles Answers

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