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# 1-1a - PowerPoint PPT Presentation

(over Lesson 3-4). 1-1a. Slide 1 of 1. (over Lesson 3-4). 1-1b. Slide 1 of 1. §3.5 Complementary and Supplementary Angles. What You'll Learn. You will learn to identify and use Complementary and Supplementary angles. E. D. A. 60 °. 30 °. F. B. C.

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Presentation Transcript
§3.5 Complementary and Supplementary Angles

What You'll Learn

You will learn to identify and use Complementary and

Supplementary angles

E

D

A

60°

30°

F

B

C

§3.5 Complementary and Supplementary Angles

Two angles are complementary if and only if (iff) the sum of their degree measure is 90.

mABC + mDEF = 30 + 60 = 90

E

D

A

60°

30°

F

B

C

§3.5 Complementary and Supplementary Angles

If two angles are complementary, each angle is a complement of the other.

ABC is the complement of DEF and DEF is the complement of ABC.

Complementary angles DO NOT need to have a common side or even the

same vertex.

I

75°

15°

H

P

Q

40°

50°

H

S

U

V

60°

T

30°

Z

W

§3.5 Complementary and Supplementary Angles

Some examples of complementary angles are shown below.

mH + mI = 90

mPHQ + mQHS = 90

mTZU + mVZW = 90

D

C

130°

50°

E

B

F

A

§3.5 Complementary and Supplementary Angles

If the sum of the measure of two angles is 180, they form a special pair of

angles called supplementary angles.

Two angles are supplementary if and only if (iff) the sum of their degree measure is 180.

mABC + mDEF = 50 + 130 = 180

I

75°

105°

H

Q

130°

50°

H

S

P

U

V

60°

120°

60°

Z

W

T

§3.5 Complementary and Supplementary Angles

Some examples of supplementary angles are shown below.

mH + mI = 180

mPHQ + mQHS = 180

mTZU + mUZV = 180

and

mTZU + mVZW = 180