Four angles of a quadrilateral ABCD are in ratio of 3: 5: 7: 9. Find the measure of angles.
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Answer:
3x + 5x + 7x + 9x = 360°
24x = 360°
x = = 15°
Hence, the angles are 3 x 15° = 45°
5 x 15° = 75°
7 x 15° = 105°
9 x 15° = 135°
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Let the angles of quadrilateral be 3x, 5x, 7x, and 9x
We know,
Hence,
- 1st angle of quadrilateral = 45°
- 2nd angle of quadrilateral = 75°
- 3rd angle of quadrilateral = 105°
- 4th angle of quadrilateral = 135°
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