Practice and Problem-Solving Exercises

A Practice

See Problem 1.

Find the value of each variable.

Find the measures of the labeled angles in each exercise.

9. Exercise 6
10. Exercise 7
11. Exercise 8

See Problem 2.

12. Developing Proof Complete the following proof by filling in the blanks.

    Given: ∠ 1 ≅ ∠ 3 angle 1 approximately equal to , angle 3

    Prove: ∠ 6 ≅ ∠ 4 angle 6 approximately equal to , angle 4

    

    Statements	Reasons
    1) ∠ 1 ≅ ∠ 3 angle 1 approximately equal to , angle 3	1) Given
    2) ∠ 3 ≅ ∠ 6 angle 3 approximately equal to , angle 6	2) a. ? ¯ modified question mark with under bar below
    3) b. ? ¯ modified question mark with under bar below	3) Transitive Property of Congruence
    4) ∠ 1 ≅ ∠ 4 angle 1 approximately equal to , angle 4	4) c. ? ¯ modified question mark with under bar below
    5) ∠ 6 ≅ ∠ 4 angle 6 approximately equal to , angle 4	5) d. ? ¯ modified question mark with under bar below

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