Question

RV=y+27 and TV=3y–17, find RV in parallelogram RSTU.
T
S
R
U
V

Answer 1

RV = 49 units

Explanation:

in parallelogram RSTU , the diagonals bisect each other, then

TV = RV , that is

3y - 17 = y + 27 ( subtract y from both sides )

2y - 17 = 27 ( add 17 to both sides )

2y = 44 ( divide both sides by 2 )

y = 22

Then

RV = y + 27 = 22 + 27 = 49 units