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If the angles of a triangle are in the ratio of 2 : 3 : 4, then the difference of the measure of greatest angle and smallest angle is
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- 20°
- 30°
- 40°
- 50°
- 20°
Correct Option: C
We know that Sum of three angles of a triangle = 180°
A : B : C = 2 : 3 : 4
Sum of the terms of ratio = 2 + 3 + 4 = 9
Required difference = | - | × 180° | ||||
9 | 9 |
Required difference = | × 180° = 40° | |
9 |