Question

The ratio of the same side interior angles of two parallel lines is 33:3. Find the measures of all eight angles formed by the parallel lines and transversal.

Answer 1

✨ 15 and 165 ✨

Explanation:

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Answer 2

`15^\circ,165^\circ,15^\circ,165^\circ\\15^\circ,165^\circ,15^\circ,165^\circ`

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:

`(33)/(36)* 180^\circ =165^\circ\\(3)/(36)* 180^\circ =15^\circ`

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:

`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`