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The measures of two angles of a triangle are in the ratio 4 : 5. If the sum of these two measures is equal to the measure of the third angle, find the smallest angle.
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- 10°
- 50°
- 90°
- 40°
- 10°
Correct Option: D
Let Two angles of triangle = 4k and 5k
According to the question,
2(4k + 5k) = 180°
⇒ 18k = 180°
| ⇒ k = | = 10° | |
| 18 |
∴ The smallest angle = 4k = 4 × 10 = 40°
