Presentation is loading. Please wait.

Presentation is loading. Please wait.

Exterior Angle Theorem

Published byOwen Newton Modified over 6 years ago

Similar presentations

Presentation on theme: "Exterior Angle Theorem"— Presentation transcript:

1 Exterior Angle Theorem
Interior Angles Exterior Angles Essential Question: How do the external angles of a triangle relate to the two remote interior angles?

2 The measure of the exterior angle is equal to the sum of two nonadjacent interior angles
(Remote Interior Angles: <1 and <2) 1 m1+m2 =m3 2 3 Essential Question: How do the external angles of a triangle relate to the two remote interior angles?

3 What is this? When do you use it?
Essential Question: How do the external angles of a triangle relate to the two remote interior angles?

4 x = 81° Find the value of x. 43 x 38
Essential Question: How do the external angles of a triangle relate to the two remote interior angles?

5 x = 76° Find the value of x. 72 148 x
Essential Question: How do the external angles of a triangle relate to the two remote interior angles?

6 x = 100° Find the value of x. x 50 50
Essential Question: How do the external angles of a triangle relate to the two remote interior angles?

7 x = 110° Find the value of x. 50 x 60 70
Essential Question: How do the external angles of a triangle relate to the two remote interior angles?

8 Which is larger? 1 or 3? 2 3 1 3 Essential Question: How do the external angles of a triangle relate to the two remote interior angles?

9 Which is larger? 2 or 3? 2 3 1 3 Essential Question: How do the external angles of a triangle relate to the two remote interior angles?

Download ppt "Exterior Angle Theorem"

Similar presentations

Lesson 3-4 (Parallel & Perpendicular Lines) perpendicula r parallel.

Lesson 3-4 (Parallel & Perpendicular Lines) perpendicula r parallel.
Aim: What’s outside the triangle?

Aim: What’s outside the triangle?
The Triangle Sum Theorem.  The sum of the measures of the angles of a triangle are equal to 180 degrees. 1 2 3 4 5 < 5 = < 3 and < 4= < 1 because alternate.

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

3.5 Parallel Lines and Triangles
Triangle Inequality Theorems Sec 5.5 Goals: To determine the longest side and the largest angle of a triangle To use triangle inequality theorems.

Triangle Inequality Theorems Sec 5.5 Goals: To determine the longest side and the largest angle of a triangle To use triangle inequality theorems.
4.2 Angles of Triangles Objectives: *Apply the Angle Sum Theorem.

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.

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)

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

3-5 Parallel Lines and Triangles
3-5 Parallel Lines and Triangles. Classification by Sides (NOT in the book!) Equilateral TriangleIsosceles Triangle Scalene Triangle 3 congruent sides2.

3-5 Parallel Lines and Triangles. Classification by Sides (NOT in the book!) Equilateral TriangleIsosceles Triangle Scalene Triangle 3 congruent sides2.
4-2 Angles of Triangles Objectives: The student will be able to: 1. Apply the Triangle-Sum Theorem. 2. Apply the Exterior Angle Theorem.

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

HOW TO FIND AN ANGLE MEASURE FOR A TRIANGLE WITH AN EXTENDED SIDE
5-6 Inequalities in One Triangle

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°

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. 1 2 3.

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

3.4 parallel Lines and the Triangle Angle-Sum Theorem
The sum of the measure of the angles of a triangle is 1800.

The sum of the measure of the angles of a triangle is 1800.
Section 3-4: Parallel Lines and the Triangle Angle-Sum Theorem.

Section 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.

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

Angle Relationships in Triangles

Similar presentations

Ads by Google