The three angles of a quadrilateral are 40 ∘ , 80 ∘ , 90 ∘ . The fourth angle is: Options: A . &nbsp150∘ B . &nbsp140∘ C . &nbsp180∘ D . &nbsp90∘

The three angles of a quadrilateral are 40∘,80∘,90∘. The fo

Question

The three angles of a quadrilateral are

40^{\circ}, 80^{\circ}, 90^{\circ}

. The fourth angle is:

Options:

A . 150∘

B . 140∘

C . 180∘

D . 90∘

Answer: Option A
:
A
According to the angle sum property of a quadrilateral, the sum of all the angles of a quadrilateral is

= 360^{\circ}

∴

The fourth angle

= 360^{\circ}

40^{\circ}

80^{\circ}

90^{\circ}

)

= 360^{\circ} - 210^{\circ}

= 150^{\circ}

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