Question

if three angles of a quadrilateral are 110 degree 90 degree and 40 degree find the fourth angle​

Answer 1

Answer:

x=120°

Step-by-step explanation:

let the unknown angle be x°

110°+90°+40°+x°=360°       (angle sum property)

240°+x°=360°

x=360°-240°

x=120°

Answer 2

Answer:

• Given -:

First angle of the quadrilateral = 110°

Second angle of the quadrilateral = 90°

Third angle of the quadrilateral = 40°

• To find -:

The fourth angle of the quadrilateral

• Taken -:

To find fourth angle :

$\boxed{F=360°-(110°+90°+40°)}$

(Here , 360° is the sum of all angles of quadrilateral)

(And , there F is the fourth angle of the quadrilateral)

• Solution -:

$:\implies{F=360°-(110°+90°+40°)}$

$:\implies{F=360°-(110°+130°)}$

$:\implies{F=360°-240°}$

$:\implies{F=120°}$

• Answer -:

So , the fourth angle of the quadrilateral is 120° .