Q2 of 153 Page 144

The angles of a triangle are in the ratio 2:3:4. Find the angles.

40°, 60°, 80°


Let the angles of triangle are 2a, 3a and 4a.


Therefore,


2a + 3a + 4a = 180°[Sum of angles]


⇒ 9a = 180°


⇒ a = 20°


Angles of triangle are,


2a = 2 × 20° = 40°


3a = 3 × 20° = 60°


4a = 4 × 20° = 80°


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