Question

IF X,65,115AND 130 ARE THE ANGLE SOF A QUADRILATERAL FIND X

Answer 1

Correct Question :

If x , 65 , 115 and 130 are the Angles of a Quadrilateral . Find the Value of x .

Given :

⬤ Three Angles of Quadrilateral are 65° , 115° and 130° .

To Find :

⬤ Value of x .

Solution :

• First Angle of Quadrilateral = x
• Second Angle of Quadrilateral = 65°
• Third Angle of Quadrilateral = 115°
• Fourth Angle of Quadrilateral = 130°

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

$\sf{x+65^{\circ}+115^{\circ}+130^{\circ}=360^{\circ}}$

x + 310 = 360

x = 360 - 310

x = 50

Therefore , The First Angle of Quadrilateral (x) is 50 degree .

Check :

50° + 65° + 115° + 130° = 360°

360° = 360°

Hence Checked .

Answer 2

Step-by-step explanation:

Let First Angle of Quadrilateral = x

Let Second Angle of Quadrilateral = 65°

Let Third Angle of Quadrilateral = 115°

Let Fourth Angle of Quadrilateral = 130°

As we know ,

Sum of all Angles of Quadrilateral is 360 degree .

Hence ,

x+65∘ +115∘ +130∘ =360∘

x + 310 = 360

x = 360 - 310

x = 50

Therefore , The First Angle of Quadrilateral (x) is 50 degree .

Check :- 50° + 65° + 115° + 130° = 360°

360° = 360°

Hence Checked.

Hope this is helpful for you.