ABCD is a parallelogram. Angle B is equal to (3x+5)^degrees and angle D is equal to (x+20)^degrees Find x.

Question

ABCD is a parallelogram. Angle B is equal to (3x+5)^degrees and angle D is equal to (x+20)^degrees  Find x.

anonymous · Answer

attachment

ganeshie8 · Answer

B and D are opposite angles

anonymous · Answer

12.5
 		
15
 		
7.5
 		
38.75

ganeshie8 · Answer

in the previous question, we saw that opposite angles in parallelogram are congruent, rigth ?

anonymous · Answer

yes

ganeshie8 · Answer

so just equate them and solve x

$\angle B  = \angle D$

3x+5 = x+20

anonymous · Answer

b?

ganeshie8 · Answer

can you solve for x

anonymous · Answer

well i combined 3x and x and subtracted 5 from 20which i got 15

ganeshie8 · Answer

3x + 5 = x + 20

subtact x both sides

2x + 5 = 20

subtract 5 both sides

2x = 15

divide both sides  by 2

x = 15/2 = 7.5

anonymous · Answer

so c.. thank you so much! i see where i messed up

ganeshie8 · Answer

yeah you're half way... and you;re right upto that..... last we need to divide by 2 to solve x

anonymous · Answer

from 7.5?

anonymous · Answer

oh nevermind lol

ganeshie8 · Answer

:D

you got 2x = 15

next, you need to divide 2 both sides, then you will get x = 7.5