In Exercises
Given: 


Prove: 

PROOF  
Statements  Reasons 








To prove:
The given statement.
Given:
The following figure shows the given diagram.
Properties:
(1) If two lines are cut by a transversal so that two corresponding angles are congruent, then these lines are parallel.
(2) If two lines intersect, then the vertically opposite angles formed are congruent.
Approach:
The first given statement is,
Line
So,
So,
Now,
Use transitive property of congruence.
The given statement is,
Again, use transitive property of congruence.
Thus,
PROOF  
Statements  Reasons 
Mathematical Applications for the Management, Life, and Social Sciences
Precalculus: Mathematics for Calculus (Standalone Book)
Elementary Technical Mathematics
Essentials Of Statistics
Calculus: Early Transcendentals
Single Variable Calculus: Early Transcendentals, Volume I
Multivariable Calculus
Intermediate Algebra
Essentials of Statistics for The Behavioral Sciences (MindTap Course List)
Applied Calculus for the Managerial, Life, and Social Sciences: A Brief Approach
Understanding Basic Statistics
Calculus (MindTap Course List)
Statistics for The Behavioral Sciences (MindTap Course List)
Calculus: An Applied Approach (MindTap Course List)
Finite Mathematics and Applied Calculus (MindTap Course List)
Probability and Statistics for Engineering and the Sciences
Calculus: Early Transcendental Functions
Mathematical Excursions (MindTap Course List)
Single Variable Calculus
Trigonometry (MindTap Course List)
Elements Of Modern Algebra
Calculus of a Single Variable
Contemporary Mathematics for Business & Consumers
Single Variable Calculus: Early Transcendentals
Finite Mathematics for the Managerial, Life, and Social Sciences
Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th
Study Guide for Stewart's Multivariable Calculus, 8th
Calculus: Early Transcendental Functions (MindTap Course List)