Question

One of the same side angles of two parallel lines is 20° smaller than the other one. Find all angles.

Answer 1

Answer: 80 and 100

Step-by-step explanation:

180/2=90

90+10=100

90-10=80

Answer 2

Answer:

80°, 100°

Step-by-step explanation:

Suppose line AB and CD are parallel to each other, and lint GH intersect both at point L and M.

Now for same side interior angles of parallel lines, we know that

"sum of same side interior angles is 180° or they are supplementary angles"

Now, ∠DML + ∠BLM = 180°

∠M = x

∠L = y

Since, one angle is 20° less than second,

y=x-20

So we can make an equation,

x + y =180

x+x-20=180

2x-20 = 180

2x = 180-20

2x = 160

x = 160/2

x = 80°

Hence, y = 100°