Answer:
[tex]15^\circ,165^\circ,15^\circ,165^\circ\\15^\circ,165^\circ,15^\circ,165^\circ[/tex]
Step-by-step explanation:
The ratio of the same side interior angles of two parallel lines is 33:3
When two parallel lines are cut by a transversal, the sum of the same side interior angles is always 180 degrees.
Therefore, the angles are:
[tex]\dfrac{33}{36}\times 180^\circ =165^\circ\\\dfrac{3}{36}\times 180^\circ =15^\circ[/tex]
Therefore, the measure of all eight angles formed by the parallel lines and transversal starting from the upper left (can also be seen in the attached diagram) in a clockwise rotation is:
[tex]15^\circ,165^\circ,15^\circ,165^\circ\\$Starting from the lower left in a clockwise direction, we have:\\15^\circ,165^\circ,15^\circ,165^\circ[/tex]
