Measuring and Classifying Angles

Slides:

Advertisements

Similar presentations

Adjacent, Vertical, Supplementary, and Complementary Angles

Advertisements

Proving Angles Congruent.  Vertical Angles: Two angles whose sides form two pairs of opposite rays; form two pairs of congruent angles

Vertical Angles Supplementary Angles Complementary Angles.

EXAMPLE 4 Identify angle pairs

EXAMPLE 2 Find measures of a complement and a supplement SOLUTION a. Given that 1 is a complement of 2 and m 1 = 68°, find m 2. m 2 = 90° – m 1 = 90° –

Angles : Complementary Angles R A B C P Q Two angles that add up to 90° are called complementary angles.

Section 1.6 Pairs of Angles

2.3 Complementary and Supplementary Angles

EXAMPLE 2 Find measures of a complement and a supplement SOLUTION a. Given that 1 is a complement of 2 and m 1 = 68 °, find m 2. m 2 = 90 ° – m 1 = 90.

Objectives-What we’ll learn…

SOLUTION EXAMPLE 4 Identify angle pairs To find vertical angles, look or angles formed by intersecting lines. To find linear pairs, look for adjacent angles.

1.5: Describe Angle Pair Relationships 1.6: Classify Polygons Objectives: 1.To use special angle relationships to find angle measures 2.To define, name,

UNIT 01 – LESSON 06 – ANGLE RELATIONSHIPS Essential Question How can you describe angle pair relationships and use thee descriptions to find angle measures?

Geometry Section 1.6 Special Angle Pairs. Two angles are adjacent angles if Two angles are vertical angles if.

Proving angles congruent. To prove a theorem, a “Given” list shows you what you know from the hypothesis of the theorem. You will prove the conclusion.

GEOMETRY HELP Use the diagram above. Identify which angle forms a pair of same-side interior angles with 1. Identify which angle forms a pair of corresponding.

Pairs of Angles If m DEF = 73º, find the measure of its supplement.

1.4 Pairs of Angles Adjacent angles- two angles with a common vertex and common side. (Side by side) Linear pair- a pair of adjacent angles that make a.

Section 1-6 Angle Pair Relationships. Vertical angles Formed when two lines intersect. Vertical Angles are Congruent. 1 2.

Preview Warm Up California Standards Lesson Presentation.

Honors Geometry Section 1.3 part2 Special Angle Pairs.

Angle Relationships Quiz (B) Course 3. 1) Classify the sketch below using the choices provided. 80° 100° a) complementary b) supplementary c) vertical.

1-3 Pairs of Angles.

2.2 Complementary and Supplementary Angles

Sum of the Angle Measures of a Triangle Angle Pairs Lesson 40Power Up GPage 285.

Lesson 1-5 I can identify and use special pairs of angles I can identify perpendicular lines.

1 Unit 5: Geometry Pairs of Angles. Lesson 1-5: Pairs of Angles 2 Adjacent Angles A pair of angles with a shared vertex and common side but do not have.

Any two angles whose sum is 180 degrees. Supplementary Angles.

Holt Geometry 1-4 Pairs of Angles 1-4 Pairs of Angles Holt Geometry Warm Up Warm Up Lesson Presentation Lesson Presentation Lesson Quiz Lesson Quiz.

Proving the Vertical Angles Theorem (5.5.1) May 11th, 2016.

Types of Angle Pairs Foldable

Pairs of Angles Find the measure of the supplement of  IGJ. LESSON 7-1 x° + m IGJ = 180° The sum of the measures of supplementary angles is 180º. x° +

GEOMETRY HELP Name the angle below in four ways. The name can be the vertex of the angle: G. Finally, the name can be a point on one side, the vertex,

Course 3 LESSON 54. Supplementary Angles Complementary Angles.

Lesson 2-4 Special Pairs of Angles (page 50) Essential Question Can you justify the conclusion of a conditional statement?

2.6 Proven Angles Congruent. Objective: To prove and apply theorems about angles. 2.6 Proven Angles Congruent.

Lesson 1-5: Pairs of Angles

7.G.5 ~ Find measures of angles formed by intersecting lines

Adjacent, Vertical, Complimentary and Supplementary Angles

Angle Relationships Lesson 1.5.

Angle Relationships & Parallel Lines

1.6 Angle Pair Relationship

Chapter 1 section 7 Angle relationships

Special pairs of angles

Describe Angle Pair Relationships

1.5 Exploring Angle Pairs.

Lesson 1-4: Pairs of Angles

Section 1.5. Section Angle Pair Relationships Identify vertical angles and linear pairs. Identify complementary and supplementary angles.

Lesson 1-4: Pairs of Angles

Lesson 1-5: Pairs of Angles

1.6 Describing Pairs of Angles

Types of Angles & Their Relationships

Adjacent, Vertical, Supplementary, and Complementary Angles

Lesson 4 Lines & Angles Vertical Angles.

Two angles that add up to 90 degrees.

1.6 Angle Pair Relationships

Angle Pairs Module A1-Lesson 4

Lesson 1-4 Pairs of Angles.

Chapter 2 Section 4 Special Angle Pairs Special Angle Pair #1:

1-4 Pairs of Angles Warm Up Lesson Presentation Lesson Quiz

Math Humor Teacher: Today we are going to learn about complementary angles. Student: Does this mean the angles are nice to each other?

Lesson 1-5 Pairs of Angles.

Solve [Default] [MC Any] [MC All]

Goal: The learner will use properties of special pairs of angles.

#47daysunitGMAS Maintenance Sheet 20 *Due Friday

Adjacent Angles Definition Two coplanar angles with a common side, a common vertex, and no common interior points. Sketch.

Geo MT 3 Lesson 1 Angle Pairs.

Angles : Complementary Angles R A B C P Q Two angles that add up to 90° are called complementary angles.

Adjacent, Vertical, Supplementary, and Complementary Angles

Presentation transcript:

Measuring and Classifying Angles COURSE 2 LESSON 7-2 The measure of Q is 49°. Find the measure of its complement. Let x = the measure of the complement of Q. x + m Q = 90° The angles are complementary. x + 49° = 90° Substitute 49° for m Q. x + 49° – 49° = 90° – 49° Subtract 49° from each side. x = 41° Simplify. The measure of the complement of Q is 41°. 7-2

Measuring and Classifying Angles COURSE 2 LESSON 7-2 Find the measures of 1, 2, and 4, if m 3 = 32°. m 2 + 32° – 32° = 180° – 32° m 2 = 148° m 2 + 32° = 180° 2 and 3 are supplementary. m 1 = 32° 1 and 3 are vertical angles. m 4 = 148° 2 and 4 are vertical angles. 7-2

Measuring and Classifying Angles COURSE 2 LESSON 7-2 Use the diagram for questions 1–3. 1. Find the measures of 2 and 3. 2. Name a pair of adjacent, complementary angles. 3. Name a pair of supplementary angles. m 2 = 40º; m 3 = 90º 1 and 2 3 and 4 or 4 and 5 7-2