To prove:
Explanation of Solution
Given information: Two angles that are complements of congruent angles.
Formula used: Sum of two complementary angles is
Proof:
Consider the figure shown.
Given:
To prove:
Proof:
As
(Sum of two complementary angles is
As
(Sum of two complementary angles is
Subtract
Also,
(if two angles are congruent then they are equal to each other)
So,
This implies
(If two angles are equal then they are also congruent)
Chapter 2 Solutions
McDougal Littell Jurgensen Geometry: Student Edition Geometry
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