Question

three angles of a quadrilateral are 100 degree, 90degree and 110degree what is the fourth angle
options are:
a) 30degree
b)120 degree
c)160degree
d)60 degree​

Answer 1

Answer :-

• The Fourth Angle of Quadrilateral is 60°

Given :

⬤ Three Angles of Quadrilateral are 100° , 90° and 110° .

To Find :

⬤ Fourth Angle of Quadrilateral .

Solution :

• First Angle = 100°
• Second Angle = 90°
• Third Angle = 110°

Let :

• Fourth Angle be x .

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

$\bf{100^{\circ} + 90^{\circ} + 110^{\circ} + x^{\circ} = 360^{\circ}}$

300 + x = 360

x = 360 - 300

x = 60

Therefore , The Fourth Angle of Quadrilateral (x) is 60 degree.

Correct Option is d) 60° .

Check :-

100 + 90 + 110 + x = 360°

100 + 90 + 110 + 60 = 360°

360° = 360°

Hence Checked .

Answer 2

Step-by-step explanation:

Given,

\angle{ 1st}∠1st = 100°

\angle{2nd}∠2nd = 90°

\angle{3rd}∠3rd = 110°

To find,

\angle{4th}∠4th

Knowledge Required,

The sum of all the interior angles of a quadrilateral is 360°.

Finding \angle{4th}∠4th :

\angle{1st}∠1st + \angle{2nd}∠2nd + \angle{3rd}∠3rd + \angle{4th}∠4th = 360°

⇒100° + 90° + 110° + \angle{4th}∠4th = 360°

⇒300° + \angle{4th}∠4th = 360°

⇒\angle{4th}∠4th = 360° - 300°

⇒\angle{4th}∠4th = 60°

.°. \angle{4th}∠4th = 60°

Hence, option d) 60° is the correct answer

option D is correct ans.

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