Practice and Problem-Solving Exercises

A Practice

See Problem 1.

Identify all the numbered angles that are congruent to the given angle. Justify your answers.

See Problem 2.

10. Developing Proof Supply the missing reasons in the two-column proof.

    Given: a || b , c || d eh vertical linevertical line b comma c vertical linevertical line d

    Prove: ∠ 1 ≅ ∠ 3 angle 1 approximately equal to angle 3

    

    Statements	Reasons
    1) a || b eh vertical linevertical line b	1) Given
    2) ∠ 3 angle 3  and ∠ 2 angle 2  are supplementary.	2) a. ? ¯ modified question mark with under bar below
    3) c || d c vertical linevertical line d	3) Given
    4) ∠ 1 angle 1  and ∠ 2 angle 2  are supplementary.	4) b. ? ¯ modified question mark with under bar below
    5) ∠ 1 ≅ ∠ 3 angle 1 approximately equal to angle 3	5) c. ? ¯ modified question mark with under bar below

11. Proof Write a two-column proof for Exercise 10 that does not use ∠ 2 . angle 2 .

See Problem 3.

Find m ∠ 1 m angle 1  and m ∠ 2 . m angle 2 .  Justify each answer.

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See Problem 4.

Algebra Find the value of x. Then find the measure of each labeled angle.

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