Three angles of a quadrilateral are in the ratio 3: 5:7. The difference of the least and greatest of these angles is 760 . Find all the four angles of the quadrilateral.
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Explanation:
given :
Three angles of a quadrilateral are in the ratio 3: 5:7. The difference of the least and greatest of these angles is 760 . Find all the four angles of the quadrilateral.
to find :
Find all the four angles of the quadrilateral.
solution :
- 1st angle = 3x = 3 x 19 = 57°
- 2nd angle = 5x = 5 x 19 = 95°
- 3rd angle = 7x = 7 x 19 = 133°
- 4th angle = 360° - (57° + 95° + 133° )
- 4th angle = 360° - 285°
- 4th angle = 85°
- Angles are 57°, 95°, 133, 85°
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