XYZ is a triangle and Y A || XZ. Y 4 X Prove that the interior angles of a triangle sum to 180 degrees by moving statements into the correct boxes. Step 1: XYZ is a triangle and Y A || XZ because this is given information. Step 2: 22 2 24 and 23 2 Z5 because Step 3: m24 + mZ1+mZ5 = 180° because angles that complete a line sum to 180°. Step 4: m/2 +mZ1+mZ3 = 180° because when parallel lines are cut by a transversal, alternate interior angles are congruent when parallel lines are cut by a transversal, corresponding angles are congruent when parallel lines are cut by a transversal, alternate exterior angles are congruent of the addition property of equality of the subtraction property of equality of the substitution property of equality
XYZ is a triangle and Y A || XZ. Y 4 X Prove that the interior angles of a triangle sum to 180 degrees by moving statements into the correct boxes. Step 1: XYZ is a triangle and Y A || XZ because this is given information. Step 2: 22 2 24 and 23 2 Z5 because Step 3: m24 + mZ1+mZ5 = 180° because angles that complete a line sum to 180°. Step 4: m/2 +mZ1+mZ3 = 180° because when parallel lines are cut by a transversal, alternate interior angles are congruent when parallel lines are cut by a transversal, corresponding angles are congruent when parallel lines are cut by a transversal, alternate exterior angles are congruent of the addition property of equality of the subtraction property of equality of the substitution property of equality
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.1: Angles
Problem 3E
Related questions
Question
![XYZ is a triangle and Y A || XZ.
Y
2.
X
Prove that the interior angles of a triangle sum to 180 degrees by
moving statements into the correct boxes.
Step 1: XYZ is a triangle and Y A || XZ because this is
given information.
Step 2: 22 2 Z4 and 23 2 Z5 because
Step 3: m24 +mZ1+mZ5 = 180° because angles
that complete a line sum to 180°.
Step 4: m/2 +mZ1+mZ3 = 180° because
when parallel lines are cut by a transversal, alternate
interior angles are congruent
when parallel lines are cut by a transversal,
corresponding angles are congruent
when parallel lines are cut by a transversal, alternate
exterior angles are congruent
of the addition property of equality
of the subtraction property of equality
of the substitution property of equality](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F45e4ee6c-a715-4803-9fbe-92a41a442b45%2Fd542c60c-321d-473c-a0d0-a2d19d5d8634%2Frils9ed_processed.jpeg&w=3840&q=75)
Transcribed Image Text:XYZ is a triangle and Y A || XZ.
Y
2.
X
Prove that the interior angles of a triangle sum to 180 degrees by
moving statements into the correct boxes.
Step 1: XYZ is a triangle and Y A || XZ because this is
given information.
Step 2: 22 2 Z4 and 23 2 Z5 because
Step 3: m24 +mZ1+mZ5 = 180° because angles
that complete a line sum to 180°.
Step 4: m/2 +mZ1+mZ3 = 180° because
when parallel lines are cut by a transversal, alternate
interior angles are congruent
when parallel lines are cut by a transversal,
corresponding angles are congruent
when parallel lines are cut by a transversal, alternate
exterior angles are congruent
of the addition property of equality
of the subtraction property of equality
of the substitution property of equality
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