Find the values of the variables in the parallelogram. The diagram is not drawn to scale. Use theorems involving parallel lines and the sum of the angles of a triangle .
The picture is in the comments.

Question

brooklynnfaith98 · Answer

attachment

wolf1728 · Answer

Wow that diagram doesn't name the angles.
I will.

wolf1728 · Answer

That's a parallelogram - opposite angles are equal.
Angle B = Angle C = 103 degrees.

brooklynnfaith98 · Answer

thank you but what's X and Y?  would Y be 21 ..?

wolf1728 · Answer

All 4 angles of a parallelogram sum to 360 degrees.
Angle C + Angle B + Angle A + Angle D = 360
103 + 103 + Angle A + ANgle D = 360
Angle A + Angle D = 154 degrees
Angle = Angle D (opposite angles are equal)
Angle A = ANgle D = 77 Degrees

wolf1728 · Answer

Angle x = 21 degrees

wolf1728 · Answer

Angle y = 77 -21 degrees = 56 degrees

brooklynnfaith98 · Answer

thank you . Could you help me on some questions ?

wolf1728 · Answer

Well maybe one more.

brooklynnfaith98 · Answer

BM= 2x+3, DM= 3x-2, Am= 3y-2, and CM=2y+4. If ABCD is a parallelogram, what is the value of x?

wolf1728 · Answer

BM = MD 
2x +3 = 3x-2
x = 5

brooklynnfaith98 · Answer

thank you