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

Answer:

118.2°

Step-by-step 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

$m\angle 6=180^{\circ}-61.8^{\circ}=118.2^{\circ}$

Answer 2

Answer:

C) 118.2

just took test