Write a complete two column proof for the following information.

given: m∠1 = 62° line l is parallel to line m prove: m∠7 = 118°

We are asked to show a proof that m∠1 is equal to 62° and the line l is parallel to line m which has an angle of 180°. If two lines are parallel the summation of angles are 180 degrees and they are also considered as a supplementary angle. Hence, by this we have formed the equation and solution below:

m∠l + m∠m = 180°

replacing the value of two angles, we have:

62° + 118° = 180°

180° = 180°

Therefore, the two lines are parallel.