Chapter 2.4, Problem 46E

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6th Edition

Daniel C. Alexander + 1 other

ISBN: 9781285195698

Textbook Problem

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*In Exercises 45 to 47, write a formal proof for each corollary.*

If two angles of one triangle are congruent to two angles of another triangle, then the third angles are also congruent.

To determine

**To prove:**

The third angles are also congruent if two angles of one triangle are congruent to two angles of another triangle.

Explanation

**Approach:**

The sum of the three angles in a triangle is

If the two angles of triangles are congruent, then the measures of the angles are same.

**Calculation:**

Consider the triangle

Figure

Calculate the angles of triangle

Calculate the angles of triangle

Substitute equation

Since, the two angles of different triangle are same

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