Question

Two parallel lines are intersected by
a transversal t. If the interior angles
on same side of
transversal are
(2x -8°) and (3x - 7) find the measure
of these angles .
​

Answer 1

Answer:

If lines are parallel, then the interior angles on the same side of the transversal will sum up tk 180°

Hence,

(2x-8) + (3x-7) = 180

2x-8+3x-7=180

5x-15=180

5x=180+15

5x=195

x=195/5

x=39°

1st angle-

2x-8= 2×39-8

= 78-8

= 70°

2nd angle-

3x-7= 3×39-7

= 117-7

= 110°