Question

Four angles of a quadrilateral are 50 degrees, 130 degrees, 120 degrees, and x degrees. The value of "x" is:

Answer 1

Answer:

Question:

If three angles of a quadrilateral are 50° ,130° and 110° then find the fourth angle.

Answer:

The fourth angle of the quadrilateral is 70° .

Note:

• A polygon of four sides is called quadrilateral.

• A quadrilateral has four angles.

• The sum of all the four interior angles is equal to 360°.

Solution:

It is given that;

The three angles of a quadrilateral are 50° , 130° and 110° .

We need to find the fourth angle.

Let ;

1st angle = 50°

2nd angle = 130°

3rd angle = 110°

4th angle = x

Now,

We know that, the sum of all the four angles of a quadrilateral is 360° .

Thus;

=> 1st angle + 2nd angle + 3rd angle + 4th angle

= 360°

=> 50° + 130° + 110° + 4th angle = 360°

=> 290° + 4th angle = 360°

=> 4th angle = 360° - 290°

=> 4th angle = 70°

Hence,

The fourth angle of the quadrilateral is 70° .

Answer 2

Answer:

The fourth side is 60°

Step-by-step explanation:

Let the fourth side be x

then,

50+130+120+x=360°

300+x=360

x=360-300

x=60°

Hope you understand