Question

One of the same side angles of two parallel lines is five times smaller than the other one. Find the measures of these two angles.
plz help

Answer 1

Answer:

30 and 150

Step-by-step explanation:

Whether these are same side interior or same side exterior, the sum of them is 180 when the angles are on the same side of a transversal that cuts a pair of parallel lines.  Let's call the angles A and B.  If angle A is 5 times smaller than angle B, then angle B is 5 times larger than angle A.  So the angles are x and 5x.  They are supplementary so

x + 5x = 180 and

6x = 180 so

x = 30 and 5(30) = 150