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Name: ____________________________________________________________
Date: _________________________
Period: _____
Chapter 2: Keyword Proofs
Topic 6: Angles in a Triangle
Important Facts:
The sum of the 3 angle measures of any triangle is __________________ degrees.
The exterior angle of a triangle is formed by one side of a triangle and the extension of an adjacent side.
Diagram:
In any triangle, the measure of the exterior angle is equal to the sum of the measures of the non-adjacent
interior angles.
An ______________________________ triangle is a triangle with at least two sides of equal length. The base angles of
an isosceles triangle are equal in measure. The vertex angle is the angle that is not equal.
Diagram:
An ____________________________triangle is a triangle in which all three sides are equal. The measures of each
angle in an equilateral triangle is __________degrees.
Diagram:
Find the measure of angle x in the figure below. Use an algebraic expression to solve and explain your
calculations.
***Diagram not drawn to scale***
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2.)
Name: ____________________________________________________________
Date: _________________________
Period: _____
Examples:
In each figure, determine the measures of the unknown (labeled) angles. Give reasons for your calculations.
Images not drawn to scale.
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2.)
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Name: ____________________________________________________________
4.) Hint: Auxiliary Lines
5.)
6.) Hint: Auxiliary Lines
Date: _________________________
Period: _____