Question

Two parallel lines are crossed by a transversal. Parallel lines x and y are cut by transversal w. On line x where it intersects with line w, 4 angles are created. Labeled clockwise, from uppercase left, the angles are: 2, 4, 3, 1. On line y where it intersects with line w, 4 angles are created. Labeled clockwise, from uppercase left, the angles are: 6, 8, 7, 5. If mAngle1=61. 8°, then what is the measure of mAngle6? 61. 8° 81. 8° 118. 2° 128. 2°.

Answer 1

The C option is correct.

Angle

Angle is the space between the line or the surface that meets.  And the angle is measured in degree. For complete 1 rotation, the angle is 360 degrees.

Given

∠1 is 61.8°

To find

The ∠6 will be.

How to find ∠6?

We know that when two lines parallel then the alternate angle are equal.

According to this ∠7 and ∠1 are the alternate angle.

∠7 = ∠1 = 61.8°

We know that line makes 180° itself. That is

   ∠6 + ∠7 = 180°

∠6 + 61.8° = 180°

            ∠6 = 180° - 61.8°

            ∠6 = 118.2°

Hence the ∠6 is 118.2°.

Thus, the C option is correct.

More about the angled link is given below.

https://brainly.com/question/15767203