3-3 Parallel Lines & the Triangle Angle Sum Theorem

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Presentation transcript:

3-3 Parallel Lines & the Triangle Angle Sum Theorem GEOMETRY

Triangle Angle-Sum Theorem The sum of the measures of the angles of a triangle is 180. m∠A + m ∠ B + m ∠ C = 180

EX. 1) FIND 𝒎∠𝟏.

EX. 2) Find the values of x, y, and z.

EX.3) Find a.

CLASSIFY TRIANGLES BY ANGLES Equiangular All angles are congruent. Acute All angles are acute. Right One Right Angle. Obtuse One obtuse angle.

CLASSIFY TRIANGLES BY SIDES Equilateral All sides are congruent. Isosceles At least two sides are congruent. Scalene No Sides are congruent.

TRIANGLE EXTERIOR ANGLE THEOREM THE MEASURE OF EACH EXTERIOR ANGLE OF A TRIANGLE EQUALS THE SUM OF THE MEASURES OF ITS TWO REMOTE INTERIOR ANGLES.

EX.4) Find a.

EX.5) Find a.