SOLUTION: If figure ABCD below is a parallelogram, what is the value of y? a. 120 b. 90 c. 60 d. 30 Link to image http://152.46.13.240/MoodleContent/SATprep/Math%20Unit%206/Post%20A

Question 983320: If figure ABCD below is a parallelogram, what is the value of y?
a. 120
b. 90
c. 60
d. 30
Link to image
http://152.46.13.240/MoodleContent/SATprep/Math%20Unit%206/Post%20Assessment/parallelogram%202.gif
Found 2 solutions by macston, Danielshinmath:
Answer by macston(5194) (Show Source): You can put this solution on YOUR website!
.
Since AB and CD are parallel, angles B and C are supplementary, so:
4x degrees + 2x degrees=180 degrees
6x degrees=180 degrees
x=30 degrees
.
Opposite angles of a parallelogram are congruent so angle B is congruent to angle D, so:
measure of angle B=4x degrees
measure of angle D=y
angle B=angle D
4x=y (x=30 degrees from above)
4(30 degrees)=y
120 degrees=y
ANSWER: (a.) 120 degrees
Answer by Danielshinmath(31) (Show Source): You can put this solution on YOUR website!
A
Explanation: 2 adjacent angles in a parallelogram will always equal 180 degrees. This means that 4x+2x=6x will equal 180 degrees. This means x=30. Then, 2x+y must equal 180 So that means 60 (2x) +y=180. y=180-60=120
Answer: A, 120
RELATED QUESTIONS
In the figure above, side AC of triangle ABC lies on line l. What is the value of y?... (answered by MathLover1)
If Y is the center point, YZ = 9, and m (answered by Alan3354)
Find the value of x. Copy and paste link to view image. https://ibb.co/nsVZYbS a.... (answered by greenestamps)
The perimeter of the rectangle shown below is 70 cm. (a) What is the value of �y�? (b)... (answered by josgarithmetic)
Using the figure below, determine the area of the shaded sector (rounded to the nearest... (answered by solver91311)
The rectangular solid above has surface area 112 square feet. What is the volume, in... (answered by josgarithmetic)
Which of the following is a solution to sin(2x)-cosx=0? a. 60 degrees b. 90 degrees... (answered by ikleyn,MathLover1)
which is the greatest ? A). log2 32^8 B). log3 27^13 C). log4 2^50 D). log5 25^19 (answered by FrankM)
In quadrilateral ABCD, angle A + angle C is 2 times angle B + angle D. If angle A = 40,... (answered by solver91311)