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 mAngle6 = 123.5°, then mAngle1 is 56.5°. 67.5°. 123.5°. 136.5°.

Answer 1

Answer:

(A)$56.5^\circ$

Step-by-step explanation:

From the diagram attached:

Angle 1 and Angle 6 are Co-Interior Angles.

The sum of co-interior angle is 180 degrees.

Therefore:

$m\angle 1+ m\angle 6=180^\circ\\\\m\angle 6=123.5^\circ, therefore:\\m\angle 1+ 123.5^\circ=180^\circ\\m\angle 1=180^\circ-123.5^\circ\\m\angle 1=56.5^\circ$

The measure of angle 1 is therefore 56.5 degrees.

The correct option is A.

Answer 2

Answer:

the answer is 56.5