Question

Parallel lines x and w are cut by transversals z and y and form 4 angles at each intersection. Where line x intersects with line z, labeled clockwise, from the uppercase left, the angles are: 1, 4, 3, 2. Where line w intersects with line z, the angles are: 5, 75 degrees, 7, 6. Where line x intersects with line x, the angles are: 13, 16, 15, 14. Where line w intersects line y, the angles are: 9, 12, 11, 10. What is m∠2? ° What is m∠1? °

Answer 1

Answer:

$m\angle 1 =105^\circ\\m\angle 2 =75^\circ$

Step-by-step explanation:

The diagram is drawn and attached below.

From the diagram

$m\angle 2 =75^\circ (Alternate Angles)$

$m\angle 1+ m\angle 2 =180^\circ (Sum of angles on a straight line)\\m\angle 1+75^\circ =180^\circ\\m\angle 1 =180^\circ-75^\circ\\m\angle 1 =105^\circ$