Question

The three angles are quadrilateral are 65 ,55 ,130 degree. find its four angle

Answer 1

Question

• The three angles are quadrilateral are 65 ,55 ,130 degree. find its four angle

Given

• Three angle of quadrilateral are 65° , 55° , 130°

Find

• Fourth angle of quadrilateral ?

† Note

• Sum of the all interior angles of quadrilateral is 360°

Solution

Let ,

• the fourth angles be x

→ 65 + 55 + 130 + x = 360

→ 120 + 130 + x = 360

→ 250 + x = 360

→ x = 360 - 250

→ x = 110°

Hence

• The fourth angle of quadrilateral is 110°$\sf$

Answer 2

Given :

• Three angles of Quadrilateral = 65° + 55° + 130°

To find :

• It's Fourth angle

According to the condition :

We know that,

A quadrilateral is a polygon with 4 sides.

➳ Sum of interior sides = ( n - 2 ) × 180°

⟹ ( 4 - 2 ) × 180°

⟹ 2 × 180

⟹ 360°

According to the question :

Let the Forth side be ' x '

➳ Sum of 4 angles = 360°

⟹ 65° + 55° + 130° + x = 360°

⟹ 250° + x = 360°

⟹ x = 360° - 250°

⟹ x = 110°

Verification :

Four angles = 180°

⟹ 65° + 55° + 130° + 110° = 360°

⟹ 360° = 360°

Hence verified !

So, It's Done !!