Question

Consider parallelogram ABCD below.

Use the information given in the figure to find x, m LEDA, and mZEAD.
3x - 2
36
?
E
0
mZEDA -
mZEAD - 1
.
62

Answer 1

see explanation

Explanation:

The diagonals of a parallelogram bisect each other, thus

AE = EC , substitute values

3x - 2 = 7 ( add 2 to both sides )

3x = 9 ( divide both sides by 3 )

x = 3

∠ EDA = ∠ EBC = 36° ( vertical angles )

∠ EAD = ∠ ECB = 62° ( vertical angles )