Question

A quadrilateral has the following angles:(x+20),(x+30),(2x_10)and 4x calculate x

Answer 1

Answer:

40 degrees

Step-by-step explanation:

Let the given quadrilateral be ABCD

angle A + angle C = 180 deg [opposite angles of a quadrilateral] (1)

angle B + angle D = 180 deg  [opposite angles of a quadrilateral] (2)

Therefore,

angle A + angle B + angle C + angle D = 360 deg [Adding 1 & 2}

Now

Let A (x+20)  B (x+30)  C (2x-10)  D (4x)

8x + 40 = 360 deg  [substituting values of angle A , angle B , angle C , angle D]

8x = 360-40

8x = 320

x = 320/8

x = 40 deg

Value of x is 40 deg

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