This document defines different types of triangles based on their side lengths and angles. It states that the sum of the angles in any triangle is always 180 degrees and the measure of an exterior angle is equal to the sum of the remote interior angles. It then provides two example triangles and asks to find the measure of specific angles in each based on the information given.

1. Bell Ringer 1 5x - 6 3x + 4 1. Find measure of x. 2. Find measure of <1. 2 3 3. Find measure of <2. 4. Find measure of <3.

2. Triangle - a triangle consists of three noncollinear points and the line segments connecting them Equilateral - has three congruent sides Isosceles - has two congruent sides Scalene - has no congruent sides

3. Triangles Acute Triangle - has three acute angles Equiangular Triangle - has three congruent angles Right Triangle - has exactly one right angle Obtuse Triangle - has one obtuse angle

4. Leg Leg Base Base Angle Base Angle

5. - the sum of the measures of a triangle is 180° - the measure of the exterior angle is equal to the sum of the two remote interior angles 1 4 2 3

6. 110° ? 60° Example 1:

7. 1 55° 95° Example 2: 2 3 Find <1. Find <2. Find <3.

8. 38° x y z 48° You try! Find x, y, and z.