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The measures of three angles of a quadrilateral are in the ratio 1 : 2 : 3. If the sum of these three measures is equal to the measrue of the fourth angle, find the smallest angle.
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- 30°
- 40°
- 60°
- 50°
- 30°
Correct Option: A
Given , The measures of three angles of a quadrilateral are in the ratio 1 : 2 : 3
Let three angles of quadrilateral = y°, 2y° and 3y°
According to question ,
∴ Fourth angle = y + 2y + 3y = 6y°
∴ y + 2y + 3y + 6y = 360°
⇒ 12y = 360°
| ⇒ y = | = 30° = Smallest angle | |
| 12 |
