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
If two parallel lines are cut by a transversal
Sum of the same side interior angles = 180 degrees.
Therefore, the two same-side interior angles are:
[tex]\dfrac{33}{36}\times 180^\circ =165^\circ\\\dfrac{3}{36}\times 180^\circ =15^\circ[/tex]
We can then say that the measure of all eight angles formed by the parallel lines and transversal starting from the upper left in a clockwise rotation is:
[tex]15^\circ,165^\circ,15^\circ,165^\circ, 15^\circ,165^\circ,15^\circ,165^\circ[/tex]
