Answer: 110 degrees and 70 degrees
Explanation:
These angles are same side (of the traversal line) interior (inside the parallel lines) angles. Same side interior angles sum to 180 degrees. Add the two angles together and set them equal to 180. (90-5x) + (62-2x) = 180
Combine like terms. 90+62= 152 and -5x + -2x = -7x rewrite the equation as 152 + -7x = 180
Subtract 152 from both sides of the equation.
-7x = 28. Now isolate x by dividing both sides by -7. X= -4. Now we can substitute -4 back into the original equations. 90 -5(-4) = 90 +20 = 110 and 62 - 2(-4) = 62 + 8 = 70
We can double check our work to see if these two indeed add up to 180. 110 + 70 = 180