Three angles of a Triangle are in the ratio 2:3:5 then the angles are
Three angles of a Triangle are in the ratio 2:3:5 then the angles are
A) 30°, 60°, 90°
B) 36°, 54°, 90°
C) 40°, 50°, 90°
D) 40°, 60°, 80°
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Correct option is (B) 36°, 54°, 90°
Let angles are 2x, 3x and 5x.
\(\therefore\) 2x+3x+5x = \(180^\circ\) \((\because\) Sum of angles in a triangle is \(180^\circ)\)
\(\Rightarrow\) 10x = \(180^\circ\)
\(\Rightarrow\) x = \(\frac{180^\circ}{10}=18^\circ\)
\(\therefore\) Required angles are \(36^\circ,54^\circ\;and\;90^\circ.\)
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