Question

Find the value of x in the diagram below

Answer 1

x = 12

Explanation:

ZY is a midsegment and is half the measure of SQ, that is

x + 2 =
`(1)/(2)` (3x - 8) ← multiply through by 2 to clear the fraction

2x + 4 = 3x - 8 ( subtract 2x from both sides )

4 = x - 8 ( add 8 to both sides )

12 = x