Question

find the value of x if

Answer 1

Answer:

x = 90°

Step-by-step explanation:

Since it is a parallelogram hence AC||DC

By alternate angles

Angle ADC = Angle DAB

Angle ADC = x

x = 90°

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Answer 2

Answer:

value of x is 30

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Step-by-step explanation:

we are given that :-

AB||CD

∠ABO=80

∠CDO=30

Now,

     ∠z = ∠ABO =  80[∵∠ABO and ∠z are alternate interior angles]

     ∠COD = 180 - (∠z + ∠CDO) [∵ angle sum property of triangle]

                 = 180 - (80 + 30)

                 = 180 - 110

                 = 70

     ∠y = ∠COD = 70 [∵ vertically opposite angles]

          = 70

     ∠x = 180 - (∠y + ∠ABO) [∵ angle sum property of triangle]

          = 180 - (70 + 80)

          = 180 - 150

          = 30