One of the same side angles of two parallel lines is 20° smaller than the other one. find the measures of these two angles.

The measure of these two angles are 80° and 100°

Step-by-step explanation:

Let

x and y > the measure of the same side angles

we know that

The sum of of the same side angles of two parallel lines is equal to 180 degrees

x+y=180° > equation A

x=y-20° > equation B

substitute equation B in equation A and solve for y

(y-20°)+y=180°

2y=180°+20°

y=200°/2

y=100°

Find the value of x

x=100°-20°=80°

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