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Algebra in Geometry Examples

Example 1

An angle measures 15° more than its supplement. What is its measure?

Example 2

An angle is one fifth as large as its complement. What is its measure?

Example 3

Suppose AB = 2x + 3, BC = 3x – 2, and AC = x + 10. If B is between A and C, what is the length of AC?

Example 4

Suppose AB = 2x + 3, BC = 3x – 2, and AC = x + 10. If B is between A and C, is B the midpoint of AC?

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