Question

The angles of a quadrilateral are in the ratio 1:2:1:2, then find the measure of each angle.

Answer 1

hey mate!

let the angles be x, 2x, x, 2x

sum of all angles of a quadrilateral is 360 degrees

so, x + 2x + x + 2x = 6x = 360 degrees

so, x = 360/6 = 60 degrees

and 2x = 60 × 2 = 120 degrees

So, first angle is 60 degrees, second angle is 120 degree, third angle is also 60 degree and fourth angle is 120 degrees.

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