If 3 angles of a quadrilateral are 50 degree ,130 degree and 110 degree then find the fourth angle
Answers
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:
The sum of angle of quadrilateral = 360°
A + B + C + D = 360°
50° + 130° + 110° + D = 360°
290° + D = 360°
D = 360° - 290°
D = 70°