Question

The three angles of a quadrilateral are 60 degree,70 degree,175 degree.Find the fourth
angle.​

Answer 1

Solútion :

Here , in the above question, for a certain quadrilateral -

The three angles are -

Angle 1 - 60°

Angle 2 - 70°

Angle 3 - 175° .

We have to find the forth angle here.

Let the fourth angle be X ° .

We know that for a quadrilateral , the sum of all angles add upto 360° .

> Angle 1 + Angle 2 + Angle 3 + Angle 4 = 360°

> 60° + 70° + 175° + x = 360

> 305° + x = 360°

> x = 360° - 305°

> x = 55° .

Thus , the fourth angle of the quadrilateral is 55° . This is the required answer !

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Additional Information :

For any polygon of n sides

Sum of all angles of that polygon = ( n - 2) × 180° .

Answer 2

Answer:

Given :-

• The three angles of a quadrilateral are 60° , 70° , 175°.

To Find :-

• What is the fourth angles.

Solution :-

Let, the fourth angles of a quadrilateral be x

As we know that,

➦ Sum of all quadrilateral = 360°

According to the question by using the formula we get,

↦ 60° + 70° + 175° + x = 360°

↦ 130° + 175° + x = 360°

↦ 305° + x = 360°

↦ x = 360° - 305°

➠ x = 55°

∴ The fourth angles of a quadrilateral is 55°.