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The four angles of a quadrilateral at
in the ratio 1:2:3:4 find the angles


1 Answer

13 votes

Answer:

36°, 72°, 108°, 144°

Explanation:

The sum of the interior angles of a quadrilateral = 360°

sum the parts of the ratio, 1 + 2 + 3 + 4 = 10 parts

Divide 360° by 10 to find the value of one part of the ratio

360° ÷ 10 = 36° ← value of 1 part of the ratio, then

2 parts = 2 × 36° = 72°

3 parts = 3 × 36° = 108°

4 parts = 4 × 36° = 144°

The 4 angles are 36°, 72°, 108°, 144°

User Haymansfield
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