Your Name Mrs. Theo 5.1 ­ Angles in Triangles

5.1 Angles of Triangles 2021.notebook

5.1 Angles in Triangles

October 18, 2021

Your Name Mrs. Theo

/ / Notes

Lesson Objectives

? Find interior and exterior angles of triangles ? Classify triangles by side lengths and angle measures

Classifying Triangles by Side Length

Classifying Triangles by Angle Measure

5.1 Angles of Triangles 2021.notebook

Equilateral vs. Equiangular

Triangles

Other Polygons

October 18, 2021

Equilateral

Equilangular

Equilateral

Equilangular

Both = Regular Polygon

Angle Measures in Triangles

5.1 Angles of Triangles 2021.notebook

Leg

Leg

Base

Base

October 18, 2021

Leg

Leg

Base Angles are (in isos triangles)

Triangle Sum Theorem

The sum of the measures of the interior angles of a triangle is 180o.

5.1 Angles of Triangles 2021.notebook

Exterior Angle Theorem The measure of an exterior angle in a triangle is equal to the sum of the nonadjacent interior angles.

October 18, 2021

Corollary to the Exterior Angle Theorem The acute angles of a right triangle are complementary.

5.1 Angles of Triangles 2021.notebook

Example #1 The angles in a triangle are in a ratio of 2:3:10. Find the measure of all 3 angles.

October 18, 2021

Example #2

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