Question

Given: Parallelogram ABCD,

m DAB = 120', BP = 3x + 7, DP = -x + 17.
Find the following:
a. m DCB

b. BD =

Answer 1

a. m DCB =<DAB=120 opposite angle of the parallelogram are equal

again

BP=PD diagonal bisect it

3x+7=-x+17

3x+x=17-7

4x=10

x=10/4=5/2

b. BD =3x+7-x+17=3×5/2+7-5/2+17=2×5/2+24=5+24=29