Warm-up Find x a) b).

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Presentation transcript:

Warm-up Find x a) b)

Triangle Sum, Base Angles, & Exterior Angles

Triangle Sum Theorem The sum of the interior angles in a triangle is Geogebra

Example one: Find x and all angle measures for the following:

Example two: Find x and all angle measures for the following:

Example three: Find x and all angle measures for the following:

Plickers! Which of the following is the measure of angle G? 30 180 60 90

Exterior Angle Theorem The measure of an exterior angle of a triangle is equal to the sum of the measures of its remote interior angles.

Example one: Find x and y

Example two: Find x and y

Example three: Solve for x and find all missing angle measures.

Plickers! What is the value of x in the figure below? A) 153 C) 108 B) 45 D) 49

Base Angle Theorem If 2 sides in a triangle are congruent, then the angles opposite them are congruent.

Base Angle Theorem Converse If 2 angles in a triangle are congruent, then the sides opposite them are congruent.

Equilateral Triangle Corollaries Corollary 1: If a triangle is equilateral, it is equiangular Corollary 2: If a triangle is equiangular, it is equilateral

Example one: Solve for x. 12

Example two: Find x, y, and all missing angle measures

Plickers! What is the value of x in the triangle below? 12 60 20 300