A C B Triangle Sum Theorem (4.1)

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Presentation transcript:

A C B Triangle Sum Theorem (4.1) The sum of the interior angles of a  triangle is 180o A B C

Find the Find a Missing Angle of a Triangle ex#1 A B C

Find the A B C Find a Missing Angle of a Triangle ex#2

The acute angles of a right triangle are complimentary. Corollary to the Triangle Sum Theorem The acute angles of a right  triangle are complimentary. In , if , then... A B C

Question: What is a corollary? A corollary to a theorem is a  statement that can be proven  easily from the theorem.

ex#3 D B A A B C D

A B C

You Try!!

When the sides of a triangle are extended, other angles are formed When the sides of a triangle are extended,  other angles are formed.The three original  angles are the ____________. interior angles interior angles

The angles that are adjacent to the  interior angles are the _____________. exterior angles exterior angle interior angles exterior angle exterior angle

Find the ex#4

Find the ex#5

Find the ex#6

Exterior Angle Theorem The measure of an exterior angle of a  triangle is the sum of the measures of the  two non-adjacent, interior angles. A B C 1

Find the ex#7

HOMEWORK: Page 182: 6-14 all