COMPLEMENTARY & SUPPLEMENTARY

ANGLES

1.5 Describing angle pair relationships:

Mr. SaucedoMilby High School

OBJECTIVE

We will use angle relationships to find angle measures.

VOCABULARYADJACENT ANGLES

Definition Two angles that share a common vertex and common

side.

Visual

adjacent non adjacent

VOCABULARY:COMPLEMENTARY ANGLES

Definition Two angles that add up to 90 degrees.

Visual

VOCABULARYSUPPLEENTARY ANGLES

Definition Two angles that add up to 180 degrees.

Visual

CHECKPOINT

TRUE OR FALSE? Angle ABC and CBD are complementary. Angle KHJ and IHJ are supplementary Angle CBD and angle KHJ are adjacent.

CHECKPOINT

True or false? <ABC and <DBC are

complementary?

HOW TO REMEMBER?

CHECKPOINT

What is the relationship between angles 1 and 2?

GUIDED EXAMPLES

Given that angle a is a complement of angle b and that m<a = 68, find m<b.

GUIDED EXAMPLES

Given that m<2 is a supplement of <2, and m<2 = 56, find m<1.

GUIDED EXAMPLES

Given that the two angles below are complementary; and that m<FED=4x + 8, and m<CBA = x + 2, find the measure of each angle.

BIG QUESTIONS

How do we identify (or prove) that two angles are complementary?

How do we identify (or prove) that two angles are supplementary?

Adjacent angles share a _____ and a ________.

INDEPENDENT WORK

TEXTBOOK, Page 38

PROBLEMS: 1, 4, 5, 6, 8, 10, 12, 14, 16, 18, 34, 35, 36, 37, 38.

HOMEWORK

WORKBOOK, Page13

PROBLEMS: 1, 3, 5, 7, 17, 22, 23, 24, 25, 29

Pre-AP: Add problem #38.