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Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698

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BuyFindarrow_forward

Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698
Textbook Problem
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For Review Exercise 44, see the figure that follows Review Exercise 45,

Given: 4 6
Prove: 5 6

To determine

To find:

The two-column proof for 56.

Explanation

Given:

The given figure is,

Figure (1)

46.

Definition:

If the measure of two angles is equal then the angles are known as congruent angles.

The pair of nonadjacent angles in the opposite direction that lie on two intersecting straight lines is called vertical angles.

Approach:

The reasons for given statements is explained in table below.

Statements Reasons
1. 46 1. Given
2. An 4 and 5 are vertical angles. 2. Given
3. 45 3. The vertical angles are congruent.
4. 56 4. According to Transitive Property, if xy, and yz, then xz. Since, 46 and 12

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