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

C) 118.2

just took test

Answer 2

118.2°

Explanation:

Two parallel lines x and y are cut by transversal w (see attached diagram).

8 angles (named 1, 2, 3, 4, 5, 6, 7 and 8) are formed.

Angles 1 and 6 are the same side angles when two parallel lines x and y are cut by transversal w.

Two same side angles are supplementary (add up to 180°). This means

`m\angle 1+m\angle 6=180^(\circ)`

Given
`m\angle 1=61.8^(\circ),` so

`m\angle 6=180^(\circ)-61.8^(\circ)=118.2^(\circ)`