Abcd is a parallelogram find the value of x
Asked by admin @ in Math viewed by 380 People
ABCD is a parallelogram. What is the value of x?
Asked by admin @ in Math viewed by 380 People
ABCD is a parallelogram. What is the value of x?
Answered by admin @
In the above figure, ABCD Is a Parallelogram .
To find -
What is the value of x ?
Solution -
We know that -
In a Parallelogram , opposite sides are parallel.
So here -
AB is parallel to CD
AD is parallel to BC
Thus ,
Angle D = Angle A
=> Angle A = 3x + 50°
Now ,
Angle A = Exterior Angle B
{ Corresponding Angles }
Hence ,
3x + 50° = 80°
=> 3x + 50° - 50° = 80° - 50°
=> 3x = 30° .
=> [ 3x ] ÷ 3 = [ 30° ] ÷ 3
=> x = 10°
Hence, the required value of x is 10 degrees.
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