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3-3 Parallel Lines & the Triangle Angle Sum Theorem
GEOMETRY
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Triangle Angle-Sum Theorem
The sum of the measures of the angles of a triangle is 180. m∠A + m ∠ B + m ∠ C = 180
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EX. 1) FIND 𝒎∠𝟏.
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EX. 2) Find the values of x, y, and z.
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EX.3) Find a.
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CLASSIFY TRIANGLES BY ANGLES
Equiangular All angles are congruent. Acute All angles are acute. Right One Right Angle. Obtuse One obtuse angle.
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CLASSIFY TRIANGLES BY SIDES
Equilateral All sides are congruent. Isosceles At least two sides are congruent. Scalene No Sides are congruent.
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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.
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EX.4) Find a.
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EX.5) Find a.
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