To prove:
The third angles theorem by using the triangle sum theorem.
Explanation of Solution
Given:
The pairs of congruent corresponding angles
Concept used:
Two geometric figures are congruent if a rigid motion or a composition of rigid motions maps one of the figures onto other.
Calculation:
If two triangles are congruent.
So all the corresponding parts are congruent.
If all corresponding parts of two triangles are congruent.
So the triangle are congruent.
The pairs of congruent corresponding angles
By the triangle sum theorem
From definition of congruent angles
Substituting
Substracting
Therefore,
Chapter 12 Solutions
BIG IDEAS MATH Integrated Math 1: Student Edition 2016
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