Question

10. In the diagram at the right, lines m and n are crossed by t. (a) How can you tell from the measures of the two given angles that m and n are not parallel?(b) Since they are not parallel, they must intersect. Do they intersect to the right or left of the transversal?

Answer 1

(a) Lines m and n are not parallel

(b) The lines intersect to the right

Exxplanation:

(a)

Suppose the lines m and n are parallel, then the sum of angles 117 and 61 must be equal to 180 degrees.

But

117 + 61 = 178

Since this is not 180, lines m and n are not parallel

(b)

Lines m and n intersect to the right