The angles of a quadrilateral are in the ratio 3:4:5:6. Find the angles of the q

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The angles of a quadrilateral are in the ratio 3:4:5:6. Find the angles of the quadrilateral.

Options:

A . 40∘, 100∘, 80∘, 140∘

B . 60∘, 80∘, 100∘, 120∘

C . 30∘, 40∘, 50∘, 60∘

D . 10∘, 20∘, 30∘, 40∘

Answer: Option B
:
B
The angles of a quadrilateral are in the ratio3:4:5:6.
Let the angles of the quadrilateralbe

3 x, 4 x, 5 x, 6 x

.
The sum of the angles of aquadrilateral is

360^{\circ}

.

\Rightarrow 3 x + 4 x + 5 x + 6 x = 360^{\circ}

\Rightarrow 18 x = 360^{\circ}

\Rightarrow x = 20^{\circ}

∴ 3 x = 60^{\circ}, 4 x = 80^{\circ}, 5 x = 100^{\circ}, 6 x = 120^{\circ}

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