Three angles of a quadrilateral are in the ratio 3: 4:5. The difference of the least and the greatest of these angles is 45º. Find all the four angles of the quadrilateral answer ana chahiye 60⁰,84⁰,105⁰,180⁰
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Three angles of a quadrilateral are in the ratio 3: 4:5. The difference of the least and the greatest of these angles is 45º. Find all the four angles of the quadrilateral answer ana chahiye 60⁰,84⁰,105⁰,180⁰
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Answer:
Let the three angles be 3x, 4x, and 5x respectively.
According to Question,
difference of the least and greatest angle = 45°.
5x - 3x = 45°.
2x = 45°.
x = 45°/2.
x = 22.5°.
So,
3x = 3 × 22.5 = 67.5°.
4x = 4 × 22.5 = 90°.
5x = 5 × 22.5 = 112.5°.
Therefore,
Fourth angle = 360° - (67.5° + 90° + 112.5°).
Fourth angle = 360° - (180° + 90°).
Fourth angle = 360° - 270°.
Fourth angle = 90°.
Required Answer:
Hence, measure of the fourth angle of the quadratiral = 90°.