Question

the sum of three angles in a quadrilateral is 330 degrees. The fourth angle is

Answer 1

Answer:

The fourth angle is 30°

Step-by-step explanation:

Let A,B,C and D be the angles of the quadrilateral

given A + B + C = 330°

We know that sum of all the interior angle of a quadrilateral is 360°

so A + B + C + D = 360°

330° + D = 360°

D = 360° - 330°

D = 30°

Answer 2

Answer:

The fourth angle is 30°

Step-by-step explanation:

Given:

The given figure is a Quadrilateral

A Quadrilateral has 4 angles

Sum of 3 of the 4 angles in the quadrilateral is 330°

Sum of all angles in a Quadrilateral = 360°

To find :

The fourth angle

Solution:

To get the fourth angle, we need to use the angle sum property of quadrilateral. The angle sum property of quadrilateral states that sum of all four angles in a Quadrilateral is 360°

If the four angles are a, b, c and d respectively, then according to the angle sum property, a + b + c + d = 360°

Let,

The fourth angle = x

As we know,

The sum of all angles of quadrilateral is 360°

So,

The sum of three angles in a quadrilateral is 330 degrees

Sum of all angles 360°

★ According to the Question,

⇒ x + 330 = 360

⇒ x = 360 - 330

⇒ x = 30

The fourth angle = 30°

Therefore,The fourth angle is 30°