XYZ is a triangle and YA || XZ. Y A 4/1 X Z. 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 YA || XZ because this is given information. Step 2: 22 2 4 and 23 2 25 because Step 3: m24 + m/1+ mZ5 = 180° because angles that complete a line sum to 180°. Step 4: m/2 + m21+ mZ3 = 180° because
XYZ is a triangle and YA || XZ. Y A 4/1 X Z. 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 YA || XZ because this is given information. Step 2: 22 2 4 and 23 2 25 because Step 3: m24 + m/1+ mZ5 = 180° because angles that complete a line sum to 180°. Step 4: m/2 + m21+ mZ3 = 180° because
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
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Chapter6: The Trigonometric Functions
Section6.1: Angles
Problem 1E
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![XYZ is a triangle and YA || XZ.
Y
A
4/1
5
3
X
Z
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: 2 E L4 and Z3 2 25 because
Step 3: m/4 + m/1+mZ5 = 180° because angles that complete a line sum to 180°.
Step 4: m/2 + m21+ mZ3 = 180° because](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F10612e08-a2ce-493b-bbf6-d2d61e2e7ddc%2F27667008-839e-42cd-a850-7dc24a5faedd%2F6u16w5_processed.png&w=3840&q=75)
Transcribed Image Text:XYZ is a triangle and YA || XZ.
Y
A
4/1
5
3
X
Z
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: 2 E L4 and Z3 2 25 because
Step 3: m/4 + m/1+mZ5 = 180° because angles that complete a line sum to 180°.
Step 4: m/2 + m21+ 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%2F10612e08-a2ce-493b-bbf6-d2d61e2e7ddc%2F27667008-839e-42cd-a850-7dc24a5faedd%2F130myu_processed.png&w=3840&q=75)
Transcribed Image Text: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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