Given: 

Prove: 

To prove:
Given:
The given statement is,
Figure
Properties used:
If two parallel lines are cut by a transversal, then the pairs of the alternate interior angles are congruent.
If two lines are cut by a transversal and the pair of corresponding interior angles are congruent, then the lines are parallel.
Approach:
The given statement is,
So,
Use Transitive property of congruence.
So,
The proof for the given statement is shown in the following table,
Proof  
Statements  Reasons 
Calculus: An Applied Approach (MindTap Course List)
Essentials of Statistics for The Behavioral Sciences (MindTap Course List)
Probability and Statistics for Engineering and the Sciences
Mathematical Excursions (MindTap Course List)
Calculus: Early Transcendental Functions
Elementary Technical Mathematics
Calculus (MindTap Course List)
Single Variable Calculus
Precalculus: Mathematics for Calculus (Standalone Book)
Single Variable Calculus: Early Transcendentals, Volume I
Intermediate Algebra
Applied Calculus
Statistics for The Behavioral Sciences (MindTap Course List)
Multivariable Calculus
Understanding Basic Statistics
Calculus: Early Transcendentals
Finite Mathematics
Essentials Of Statistics
Mathematical Applications for the Management, Life, and Social Sciences
Finite Mathematics and Applied Calculus (MindTap Course List)
Applied Calculus for the Managerial, Life, and Social Sciences: A Brief Approach
Trigonometry (MindTap Course List)
Single Variable Calculus: Early Transcendentals
Elements Of Modern Algebra
Calculus of a Single Variable
Contemporary Mathematics for Business & Consumers
Study Guide for Stewart's Multivariable Calculus, 8th
Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th
Finite Mathematics for the Managerial, Life, and Social Sciences
Calculus: Early Transcendental Functions (MindTap Course List)
Introduction To Statistics And Data Analysis
Multivariable Calculus
Calculus (MindTap Course List)
Statistics for Business & Economics, Revised (MindTap Course List)
Research Methods for the Behavioral Sciences (MindTap Course List)
College Algebra (MindTap Course List)
Mathematics For Machine Technology
STATISTICS F/BUSINESS+ECONOMICSTEXT
Research Methods for the Behavioral Sciences (MindTap Course List)