Angles: Setting up Equations

Slides:



Advertisements
Similar presentations
Adjacent, Vertical, Supplementary, and Complementary Angles
Advertisements

Finding angles with algebraic expressions
Objectives Angle Pair Relationships Adjacent Angles Vertical Angles
Types of Angles. Acute Angle Any angle that measures less than 90 o.
Angle Relationships.
Using Angle Relationships
Solving Equations with variables on both sides of the Equals Chapter 3.5.
3-5 Complementary & Supplementary Angles. Two Angles are Complementary if and only if they add up to 90 degrees (a Right Angle). Definition of Complementary.
Vertical, Complementary, and Supplementary Angles Unit 1 Part 5.
Geometry Vocabulary Lesson #3. #12 Angle A figure formed by 2 rays with the same endpoint.
2.2 What’s the Relationship? Pg. 8 Complementary, Supplementary, and Vertical Angles.
Angle Pair Relationships
2.2 What’s the Relationship? Pg. 8 Complementary, Supplementary, and Vertical Angles.
Jeopardy Angle Pairs Bisecting $100 $100 $100 $100 $100 $200 $200 $200
Review Unit 1. Vocab Review Point Line Plane Collinear Points Coplanar Points Coplanar Lines Intersection Line Segment Ray Midpoint Parallel Lines Congruent.
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.
Chapter 1 - Section 3 Special Angles. Supplementary Angles Two or more angles whose sum of their measures is 180 degrees. These angles are also known.
10-3 Angle Relationships G2:Properties of 2- dimensional figures.
Transparency 1 Click the mouse button or press the Space Bar to display the answers.
GEOMETRY CHAPTER 2 Deductive Reasoning pages
Angle Relationships.
Angle Pair Relationships
Finding Angle Measures with Equations
How do you put a baby astronaut to sleep?
Any two angles whose sum is 180 degrees. Supplementary Angles.
* Collect the like terms 1. 2a = 2a x -2x + 9 = 6x z – – 5z = 2z - 6.
Complementary and Supplementary Angles. Objective: Learn to find Complementary and Supplementary Angles.
13.1 Angle Relationships.
Geometry. Definitions Geometry Definitions 1.straight angle - 180º.
3.5 Solving Equations with Variables on Both Sides.
Bell Ringer: Quiz Review 1.) Define a.) Collineard.) Obtuse b.) Coplanare.) Right c.) Acute Solve for x 2.) 3.) A B C 2x AC = 8X + 4 A B C D 3x +
Vertical AnglesSupplementary Angles Adjacent Angles.
+ CHAPTER 2 Section 4: Complementary and Supplementary Angles.
Geometry Review A BASHAM Production. Classifying Triangles memorize the chart SidesAngles EquilateralAcute IsoscelesObtuse ScaleneRight 3 equal sides.
1.3 & 1.5 REVIEW. QUESTION 1 Find the distance between (0,1) and (-2,9)
Angle Pair Relationships and Angle Bisectors. If B is between A and C, then + = AC. Segment Addition Postulate AB BC.
PARALLEL LINES CUT BY A TRANSVERSAL DEFINITIONS PARALLEL TRANSVERSAL ANGLE VERTICAL ANGLE CORRESPONDING ANGLE ALTERNATE INTERIOR ANGLE ALTERNATE EXTERIOR.
Combining Your Knowledge of Angles With Your Ability to Solve Equations You will have to write and solve equations to find values of variables related.
Lines and Angles Vocab.
Angle presentation.
PARALLEL LINES CUT BY A TRANSVERSAL
Adjacent, Vertical, Complimentary and Supplementary Angles
Complementary and Supplementary Angles.
1.6 Angle Pair Relationship
Special pairs of angles
Warm Up Solve..
Lesson 14.1: Angles Formed by Intersecting Lines
Variables on Both Sides with Equations
3x 2x -5 x + 11 (4x + 7)° 90° (8x - 1)°.
Adjacent, Vertical, Supplementary, and Complementary Angles
Congruent, Supplementary, and Complementary
L J M K (2x – 15)0 x0 500.
PARALLEL LINES CUT BY A TRANSVERSAL
a + 2 = 6 What does this represent? 2 a
Solving Equations with Variables on Both Sides
Solving Equations with Variables on Both Sides
Solving Equations with Variables on Both Sides
PARALLEL LINES CUT BY A TRANSVERSAL
Complementary and Supplementary Angles.
PARALLEL LINES CUT BY A TRANSVERSAL
TWO STEP EQUATIONS 1. SOLVE FOR X 2. DO THE ADDITION STEP FIRST
Angles An angle is made up of 2 rays with a common end point called the vertex. Angles are measured in units called degrees. Vertex- the point where the.
Lines and Angles Intro.
PARALLEL LINES CUT BY A TRANSVERSAL
Geo MT 3 Lesson 1 Angle Pairs.
1.3: Angles -angle pairs GSE
Supplementary Angles Supplementary Angles are two angles that together add up to 180 degrees. *The angles do not have to be next to each other to be supplementary.
Angles.
Adjacent, Vertical, Supplementary, and Complementary Angles
Presentation transcript:

Angles: Setting up Equations

Right Angles Complementary angles: Set equation equal to 90. 3x+7 Add the two expressions. (3x + 7) + (4x +13) = 90 7x + 20 = 90 -20 -20 7x = 70 x = 10 Combine like terms: 7x + 20 = 90 Solve for x:

Perpendicular Lines A AB __BC ABD = 7x+2 DBC = 5x+4 D 7x+2 5x+4 B C Same as Complementary: adds to 90 degrees. AB __BC ABD = 7x+2 DBC = 5x+4 Set up the equation: 7x+2 + 5x+4 = 90 Combine Like Terms: 12x +6 = 90 Solve. D 7x+2 5x+4 B C

Supplementary Angles Supplementary Angles are along a straight line. Add to 180 degrees. 5x+7 3x+13 Set up: 5x+7 + 3x+13= 180 Combine: 8x +20 =180 Solve: -20 -20 Divide: 8x = 160 x = 20

Vertical Angles With vertical angles, the ones across from each other are equal. E D 9x-4 7x+10 B 9x - 4 = 7x +10 A C Variables on different sides of the equation. 9x – 4 = 7x + 10 -7x -7x 2x – 4 = 10 +4 +4 2x = 14 x= 7