Question

12) The angles of a quadrilateral are in the ratio 1:2:3:4. Find the smallest angle,
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Answer 1

Answer: 36°

Step-by-step explanation:

let angles of queadrilateral be X, 2x, 3x, 4x

X + 2x + 3x + 4x = 360° (sum of all angles of quadrilateral)

10x = 360°

X = 360°/10

X = 36°(smallest angle)

hence, 4x = 4 X 36 = 144° (largest angle)

2x = 2 X 36 = 72°

3x = 3 X 36 = 108°