Three angles of a quadrilateral are respectively equal to 110- 50- and 40- Find its fourth angle-

Sum of four angles of a quadrilateral = 360^∘ Three angles are = 110^∘, 50^∘ and 40^∘ ∴ Fourth angle = 360^∘ (110^∘ +50^∘+40^∘ ) = 360^∘ 200^∘= 160^∘ ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard IX

Mathematics

Angle Sum Property of a Quadrilateral

Three angles ...

Question

Three angles of a quadrilateral are respectively equal to $110^{\circ}, 50^{\circ}$ and $40^{\circ}$ . Find its fourth angle.

Open in App

Solution

Sum of four angles of a quadrilateral = $360^{\circ}$

Three angles are = $110^{\circ}, 50^{\circ} a n d 40^{\circ}$

$∴$ Fourth angle = $360^{\circ} - (110^{\circ} + 50^{\circ} + 40^{\circ})$

= $360^{\circ} - 200^{\circ} = 160^{\circ}$

Suggest Corrections

Similar questions

Q. Three angles of quadrilateral are respectively equal to

110^{\circ}, 50^{\circ}, 40^{\circ}

. Find its fourth angle.

Q. Three angles of a quadrilateral are respectively equal to

110^{o}

50^{o}

and

40^{o}

. Find the fourth angle.

Q. Three angles of a quadrilateral are equal to

100^{\circ}, 60^{\circ}

and

80^{\circ}

, respectively. Find its fourth angle.

Q. Three angles of a quadrilateral are

60^{\circ}, 110^{\circ}

and

86^{\circ}

, the fourth angle of the quadrilateral is :

Q. If three angles of a quadrilateral are

94^{\circ}

110^{\circ}

and

103^{\circ}

, then the fourth angle will be __________.

Join BYJU'S Learning Program

Three angles of a quadrilateral are respectively equal to 110∘,50∘ and 40∘. Find its fourth angle.

Sum of four angles of a quadrilateral = 360∘ Three angles are = 110∘,50∘ and 40∘ ∴ Fourth angle = 360∘−(110∘+50∘+40∘) = 360∘−200∘=160∘

Three angles of a quadrilateral are respectively equal to $110^{\circ}, 50^{\circ}$ and $40^{\circ}$ . Find its fourth angle.

Sum of four angles of a quadrilateral = $360^{\circ}$

Three angles are = $110^{\circ}, 50^{\circ} a n d 40^{\circ}$

$∴$ Fourth angle = $360^{\circ} - (110^{\circ} + 50^{\circ} + 40^{\circ})$

= $360^{\circ} - 200^{\circ} = 160^{\circ}$