ANGLES IN PARALLEL LINES WORKSHEET

Problem 1 :

In the figure shown below, m∠2 = 75°. Find the measures of the remaining angles.

Problem 2 :

In the figure shown below, m∠3 = 102°. Find the measure of each angle. Tell which postulate(s) or theorem(s) you used.

a. ∠5       b. ∠6       c. ∠11       d. ∠7       e. ∠15       f. ∠14

Problem 3 :

In the figure shown below, m∠2 = 92° and m∠12 = 74°. Find the measure of each angle. Tell which postulate(s) or theorem(s) you used.

a. ∠10       b. ∠8       c. ∠9       d. ∠5       e. ∠11       f. ∠13

Problem 4 :

If m∠1 = 3x + 15, m∠2 = 4x - 5, and m∠3 = 5y, find the values of x and y.

Problem 5 :

In the figure shown below, find the values of x and y.

Problem 6 :

In the figure shown below, find the values of x, y and z.

Problem 7 :

In the figure shown below, find the values of x and y.

Problem 8 :

Using a 3^rd parallel Line – Auxiliary Line, find the value of x. 

Problem 9 :

Using a 3^rd parallel Line – Auxiliary Line, find the value of x.

Problem 10 :

A diagonal brace strengthens the wire fence and prevents it from sagging. The brace makes a 50° angle with the wire as shown. Find the value of the variable.

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