In the diagram, the measure of 1 is 55°. If line y is rotated 5° clockwise about the point of intersection, what is the new measure of 3?

A. 60°
B. 130°
C. 120°
D. 50°

PLEASE LOOK AT THE PICTURE!!

The new measure of angle 3 is 60 degrees

When a point or line is rotated, it must be rotated about a point of rotation

The angle measure is given as:

By vertical angle theorem, we have:

So, the angle measure becomes

The angle of rotation is given as: 5 degrees.

So, the new measure of angle 3 is:

Hence, the new measure of angle 3 is 60 degrees

Read more about rotation at:

link

Option (1)

Step-by-step explanation:

Lines X and Y are intersecting at a point.

Two pairs of vertical angles have been formed at the point of intersection.

1). ∠1 and ∠3

2). ∠2 and ∠4

It's given that m(∠1) = m∠3 = 55° [Since pair of vertical angles are equal in measure]

If line Y is rotated 5° clockwise about the point of intersection of both the lines,

∠1 and ∠3 both will increase by 5°.

Therefore, measure of angles 1 and angle 3 will become (55° + 5° = 60°).

Option (1) will be the answer.

d

step-by-step explanation: