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