Exterior Angles of Triangles

Slides:

Advertisements

Similar presentations

Warm Up Determine the measure of the missing interior angle. What type of triangle is it? Unit 8 - Lesson 2 Exterior Angles of a Triangle.

Advertisements

The Triangle Sum Theorem.  The sum of the measures of the angles of a triangle are equal to 180 degrees < 5 = < 3 and < 4= < 1 because alternate.

3.5 Parallel Lines and Triangles

4.2 Angles of Triangles Objectives: *Apply the Angle Sum Theorem.

An exterior angle is outside the triangle and next to one of the sides. 4-2 Exterior Angle Theorem.

7.2 Exterior Angle Theorem. You will learn to identify exterior angles and remote interior angles of a triangle and use the Exterior Angle Theorem. 1)

3-5 Parallel Lines and Triangles

Lesson 3.5 AIM: The Polygon Exterior Angle Sum Theorem

1 Exterior Angles of a Triangle Stage 5 - Year 9 Press Ctrl-A ©2009 – Not to be sold/Free to use.

4-2 Angles of Triangles Objectives: The student will be able to: 1. Apply the Triangle-Sum Theorem. 2. Apply the Exterior Angle Theorem.

HOW TO FIND AN ANGLE MEASURE FOR A TRIANGLE WITH AN EXTENDED SIDE

Triangle Application Theorems Lesson 7.1. Theorem 50- The sum of the measures of the angles of a triangle is 180º.

5-6 Inequalities in One Triangle

Triangles and Lines – Sum of the Angles in a Triangle The sum of the angles in any triangle = 180°

Angles of Triangles Chapter 4, Section 2. Angle Sum Theorem The sum of angles in a triangle is 180 o

3.4 parallel Lines and the Triangle Angle-Sum Theorem

ANGLES OF A TRIANGLE Section 4.2. Angles of a Triangle Interior angles  Original three angles of a triangle Exterior angles  Angles that are adjacent.

Angle Relationships in Triangles

Warm up 1.Name 2 pair of alternate interior angles

Why do triangle angles always sum to 180°?. In this lesson you will learn about the interior angles of triangles by looking at their properties.

Triangle Angle Sum Theorem, Triangle Exterior Angle Theorem

3.3 Paragraph and Flow Proofs Warm-up (IN) Learning Objective: to write and understand mathematical proofs and to use mathematical reasoning to prove that.

Section 3-3 Parallel Lines and the Triangle Angle-Sum Theorem.

I can use theorems, postulates and/or definitions to prove theorems about triangles including: measures of interior angles of a triangle sum to 180 degrees.

Lesson 5.2 Polygon Exterior Angle Sum HOMEWORK: 5.2/ 1-10.

Write a statement about the sum of the interior angles of a triangle below: The sum of all the interior angle in a triangle is 180 o

 4.1 Classifying Triangles. Example 1 Example 2.

3.5 Parallel Lines and Triangles

Angles of Triangles Angle Sum Theorem The sum of the measures of the angles of a triangle is 180 degrees. Third Angle Theorem If two angles of one triangle.

Sec: 3.5 Sol: G.2c  Interior angles  Exterior angles.

1. Please complete the last sections of your SKILL BUILDER now. 2. Please turn in your HOMEWORK to the box. 3.Pick up your WEEKEND SKILL BUILDER.

Parallel Lines and Triangles Chapter 3 Section 5.

Chapter 3 Lesson 3 Objective: To use exterior angles of triangles.

3.4.  The sum of the measures of the angles of a triangle is 180.

+ Angle Relationships in Triangles Geometry Farris 2015.

3-5 Parallel Lines and Triangles I can apply the triangle angle sum theorem to find the values of variables. I can apply the exterior angle theorem to.

4.2 Angles of Triangles Then: You classified triangle by their side or angle measures. Now: 1. Apply the Triangle Angle-Sum Theorem. 2. Apply the Exterior.

Exterior Angles.

Triangle Angle Sum Theorem, Triangle Exterior Angle Theorem

Exterior Angle Theorem Parallel Lines Cut by a Transversal

Section 3-5 Parallel lines and Triangles.

Angles of Triangles.

Measuring Angles in Triangles

Section 4-1 Triangles and Angles.

Name the type of triangle shown below.

Angles in polygons.

Geometry 4.1 Triangle and Angles.

3.5 Parallel lines and Triangles

11-4 Exterior Angles of Triangles

Angles of Triangles 4.2.

Exterior Angles of Triangles

Properties of Triangles

Warm-up Find x a) b).

Warm-up Find x a) b).

Warm-up Find x a) b).

L J M K (2x – 15)0 x0 500.

V L T The sum of the interior angles of a triangle is 180 degrees.

Triangle Theorems.

Base Angles & Exterior Angles

Correcting Assignment #24 (6, 7, 11-15, 19-24, 27, 29, 31-32)

Drill 1) x = 180, solve for x 2) How many degrees do the interior angles of a triangle add up to. 3) What type of triangle has an angle that.

Isosceles Triangles. Isosceles Triangles Base Angles If 2 angles in a triangle are congruent, then the sides opposite them are congruent.

Converse Definition The statement obtained by reversing the hypothesis and conclusion of a conditional.

Isosceles Triangles. Isosceles Triangles Base Angles If 2 angles in a triangle are congruent, then the sides opposite them are congruent.

Exterior Angle Theorem

3-3 Parallel Lines & the Triangle Angle Sum Theorem

5.2-Inequalities and Triangles

Module 15: Lesson 1 Interior & Exterior Angles

Section 3-5 Parallel lines and Triangles.

Presentation transcript:

Exterior Angles of Triangles

Relationship Between Exterior and Remote Interior Angles in a Triangle

Relationship Between Exterior and Remote Interior Angles in a Triangle

Relationship Between Exterior and Remote Interior Angles in a Triangle

Summary The sum of the exterior angles of a triangle is 360°. The measure of an exterior angle of a triangle is equal to the sum of the measures of both remote interior angles.

Practice Problem #1

Practice Problem #2

Practice Problem #3

Practice Problem #4

Practice Problem #5