The four angles of a quardirateral are in the ratio of 1:2:3:4 find the measures of each angles of the quadrilateral
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36° , 72° , 108° , 144°
Step-by-step explanation:
Given the angles of a Quadrilateral are in the ratio 1 : 2 : 3 : 4
Sum of all angles of a quadrilateral = 360°
∠A + ∠B + ∠C + ∠D = 360°
let ratio = x :2x : 3x : 4x
x+2x+3x+4x = 360
10x = 360
x = 36
The angles are,
∠A = 36°
∠B = 72°
∠C = 108°
∠D = 144°
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