Question

Find the value of x and y in the parallelogram below. the numbers are 118 and 47. the blanks are x+10 and 3y-8.

Answer 1

I need to know whether 118 and 47 label angles or side lengths. Two common interpretations:

1) If they are angles and x+10 and 3y−8 are the adjacent angles (adjacent angles in a parallelogram are supplementary):
- x+10 + 118 = 180 → x+10 = 62 → x = 52.
- 3y−8 + 47 = 180 → 3y−8 = 133 → 3y = 141 → y = 47.

2) If they are side lengths and x+10 and 3y−8 are the opposite sides (opposite sides in a parallelogram are equal):
- x+10 = 118 → x = 108.
- 3y−8 = 47 → 3y = 55 → y = 55/3 = 18 1/3.

If you can upload or describe the diagram (which expressions are opposite which numbers), I’ll confirm which set is the intended answer.