Question

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?​

Answer 1

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

`<1> = 180-110=70`

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

`<2> = 180-115=65`

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

`<7> = 180-70-65=45`

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