Line q and line m are cut by transversal lines j& k the lines and the measures of some of the angles created by the intersections of the lines are shown in the diagram below. what is the measure of angle 5?

The angle of 110° and the angle labelled as 1 form 180°, so we have

The same holds for the angle labelled 2 and the 115° angle:

Angle 1, 2 and 7 are the interior angles of a triangle, so they sum to 180. We can deduce

Angles 5 and 7 are corresponding angles, so they have the same measure.

answer: for each 3 girls there is 2 boys . 3: 2

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