Question

find the value of x in the following figure​

Answer 1

Answer:

x = 100°

Step-by-step explanation:

we know that sum of all the angles of quadrilateral is 360°

so, x - 10° + x + 25° + x - 35° + x - 20° = 360°

4x - 40 = 360°

4x = 360° + 40°

4x = 400°

x = 400° ÷ 4

x = 100°

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Answer 2

Answer:

x = 100 degree

Step-by-step explanation:

Well firstly recall one of our properties.

We know that the sum of all the interior angles of a quadrilateral gives us 360 degrees.

This means that x + 25 degree + x - 10 degree + x - 20 degree + x - 35 degree = 360 degrees.

On adding the LHS we get :

4x - 40 degrees = 360 degrees.

4x = 360 + 40 degrees

4x = 400 degrees.

On cancelling both sides by 4 we get :

x = 100 degrees.

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