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Chapter 5: Q. 15 (page 200)

Complete the following statement.

When two parallel lines are cut by a transversal, a pair of corresponding angles have measure 2x+50 and 3x. The measures of the angles are __ and __?

Short Answer

Expert verified

The measure of the angles is 150鈭�,150鈭�.

Step by step solution

01

Step 2- Apply the concept of the alternate interior angle property.

If two parallel lines are cut by a transversal, then the pairs of corresponding angles are congruent. If two parallel lines are cut by a transversal, then the pairs of alternate interior angles are congruent.

02

Step 2- Step description.

Sinceangles the congruent thus simplify the equations as follows:

2x+50=3x3x鈭�2x=50x=50

Substitute 50 for x in2x+50 and3X and simplify further.

03

Step 3- Step description.

Simplify as follows:

2x+50=2(50)+50=100+50=150鈭�

3x=3(50)=150鈭�

Therefore, the measures of the angles is 150鈭�,.150鈭�

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