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The angles of a triangle are in the ratio 4:5:9.Find the size of each angle.
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40°, 50° and 90°

the sum of the angles in a triangle = 180°

sum the parts of the ratio : 4 + 5 + 9 = 18 parts

divide 180 by 18 to obtain 1 part


(180)/(18) = 10° ← 1 part

4 parts = 4 × 10 = 40°

5 parts = 5 × 10 = 50°

9 parts = 9 × 10 = 90°



User Mohammad Masoudian
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