Question

find value of x,y and z in given parallelogram ABCD as shown A is 42°,z 3y C is x D is 114 ?​

Answer 1

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Question



The following figure shows a parallelogram ABCD.

Use the given informations to find the values of x,y and z.





A

x=2,y=152∘ and z=28∘

B

x=3,y=152∘ and z=28∘

C

x=6,y=152∘ and z=28∘

D

x=9,y=152∘ and z=28∘

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Solution



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Correct option is B)

Solving for x:-

Opposite sides of a parallelogram are equal. So we can equate both side to find x,

2x+2=3x−1,or,2x−3x=−2−1(Takingxonsameside)or,−x=−3or,x=3x=3cmAnswer

Solving for z:-

Sum of any two consecutive angles of a parallelogram is supplementary,i.e., 180

So we can write,

∠A+∠B=180or,(z+50)+102=180or,z+152=180or,z=180−152or,z=28Ans