four angles of the quadrilateral are in the ratio of 2:3:5:8 find least angle
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Answer:
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Step-by-step explanation:
Four angles of the quadrilateral are in the ratio = 2:3:5:8
Let the angles be 2x, 3x, 5x and 8x.
[Sum of all angles of quadrilateral = 360°]
2x + 3x + 5x + 8x = 360°
18x = 360°
x = [transposed]
x = 20°
2x = 2×20
= 40°
3x = 3×20
= 60°
5x = 5×20
= 100°
8x = 8×20
= 160°
The angles of the quadrilateral = 40°, 60°, 100°, 160°
Therefore,
The least angle of the Quadrilateral = 2x = 40°
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Given: Four angles of the quadrilateral are in the ratio of 2:3:5:8.
To find: The least angle.
Let the angles of the Quadrilateral be 2x, 3x, 5x and 8x respectively.
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- Sum of all angles of the Quadrilateral is 360°.
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Therefore,
⠀⠀⠀⠀⠀⠀━━━━━━━━━━━━━━━━━━━⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀
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- First angle, 2x = 2(20) = 40°
- Second angle, 3x = 3(20) = 60°
- Third angle, 5x = 5(20) = 100°
- Fourth angle, 8x = 8(20) = 160°
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