In the diagram below, parallel lines l and k are cut by transversal p.

Question

The measure of angle 6 is 32°. What is m∠4+m∠5?

Responses

A - 296°

B - 328°

C - 64

D - 148°

Answer 1

Hi Ardrianna W.

A 296°

There are certain rules and identities typical of transversals cutting parallel lines that you can review they include

Vertical Angles are congruent, Alternate Interior Angles are congruent, Corresponding Angles are congruent. In addition the rules for Supplemental Angles apply as well. You can review these rules online or in your text. Please see below:

Angles 6 and 5 are Supplemental

angle 6 + angle 5 = 180

32 + angle 5 = 180

angle 5 = 180 -32

angle 5 = 148

Angle 5 and Angle 4 are alternate interior angles between your parallel lines they are also equal, so

Angle 5 + Angle 4 = 2(Angle 5) = 2(148) = 296

I hope this helps