1. Objectives -triangle names -remote interior -exterior
3.4 Angles of a Triangle
Objectives
-triangle names
-remote interior
-exterior

5. Triangle – figure formed by three segments joining three noncollinear points

6. Types of triangles Based on number of congruent sides.
Scalene – no sides congruent
Isosceles – at least two sides congruent
Equilateral – all sides congruent
Classified by their angles
Acute – 3 acute angles
Obtuse – 1 obtuse angle
can you have a triangle with 2 obtuse angles?
Right – 1 right angle
Equiangular – all angles are congruent
If a triangle is equiangular it is also equilateral.

7. Theorem The sum of the measures of the angles of a triangle is 180.
Corollary (def. Statements that follow directly from a theorem and be easily proven using the theorem)
-If 2 angles of one triangle are congruent to two angles of another triangle, then the third angles are congruent
-Each angle of an equiangular triangle has measure of 60
-In a triangle, there can be at most one right angle or obtuse angle
-The acute angles of a right triangle are complementary

8. Interior angles and Exterior angles
Remote Interior angles

9. Remote Interior angles are the 2 angles that are furthest away from the specified exterior angle.

10. Theorem
The measure of an exterior angle of a triangle equals the sum of the measures of the two remote interior angles