Question

in a quadrilateral ,three angles are 60 degree,80 degree,100 degree what is the fourth angle
explain​

Answer 1

Answer:

Given :-

• Three angle of quadrilateral = 60,80,100

To Find :-

Fourth angle

Solution :-

Let the other angle be x

Now,

As we know that sum of all sides of quadrilateral is 360⁰.

$\sf \: 60 + 80 + 100 + x = 360$

$\sf \: 240 + x = 360$

$\sf \: x = 360 - 240$

$\sf \: x = 120$

Let's verify

$\sf \: 60 + 80 + 100 + 120 = x$

$\sf \: 140 + 120 = 360$

$\sf \: 360 = 360$

Hence verified

Answer 2

Given :

⬤ Three Angles of Quadrilateral are 60 degree , 80 degree and 100 degree .

To Find :

⬤ Fourth Angle of Quadrilateral .

Solution :

Let :

• One Angle of Quadrilateral is 60°
• Second Angle of Quadrilateral is 80°
• Third Angle of Quadrilateral is 100°
• Fourth Angle of Quadrilateral be x .

As we know that, Sum of all Angles of Quadrilateral is 360 degree . Hence ,

Now :

$\bf{60^{\circ}+80^{\circ}+100^{\circ}+x^{\circ}=360^{\circ}}$

240 + x = 360

x = 360 - 240

x = 120

Therefore , The Fourth Angle of Quadrilateral (x) is 120.

Check :

60 + 80 + 100 + x = 360

60 + 80 + 100 + 120 = 360

360° = 360°

Hence Checked .