Question

(SAT prep) find the value of x.

Answer 1

140 degrees

Explanation:

Ok, so angle in = angle out. This means there are 2 20 degree angles and the total angle of this line is 180 degrees and so 180 - 40 = 140.

Answer 2

`x=120`

Explanation:

When two lines are parallel and intersected by a transversal, the alternate corresponding angles are supplementary (their sums equal 180). In the picture, the two parallel lines are intersected by the vertical lines. Then, one of the angles formed intersected again. This means that the sum of the two smaller angles, plus the alternate exterior angle is equal to 180. Hence the following equation can be formed;

`x+20+40=180`

Simplify,

`x+60=180`

Inverse operations;

`x+60=180\\-60\\\\x=120`