Question

Find the value of each variable in each parallelogram . on #17 and #18 .

Answer 1

see explanation

Explanation:

17

The diagonals of a parallelogram bisect each other, then

x + 6 = 11 ( subtract 6 from both sides )

x = 5

and

y - 7 = 10 ( add 7 to both sides )

y = 17

(18)

The opposite sides of a parallelogram are congruent , then

3a + 11 = a + 15 ( subtract a from both sides )

2a + 11 = 15 ( subtract 11 from both sides )

2a = 4 ( divide both sides by 2 )

a = 2

and

3b + 5 = b + 11 ( subtract b from both sides )

2b + 5 = 11 ( subtract 5 from both sides )

2b = 6 ( divide both sides by 2 )

b = 3