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
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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