Lines x and y are parallel and are cut by the transversal b. If the measure of angle 1 is 57°, what is the measure of angle 6? Explain the relationship between the two angles.

Step-by-step explanation:

Given

Lines x and y

Transversal b

Required

Find

From the attachment, and are vertically opposite.

This means that

Similarly

 and are supplementary angles

So:

Make the subject

The relationship between and is that they are supplementary angles because:

1 x=22.52

2: 65/39=604+39x

65x-39x=604

26x=604

x=604/26

×=23.23