Question
ABCD is a Quadrilateral in which 
- 430
- 730
- 340
- 630
Hint:
A closed quadrilateral has four sides, four vertices, and four angles. It is a form of polygon. In order to create it, four non-collinear points are joined. Quadrilaterals always have a total internal angle of 360 degrees. Here we have to find the value of x in the given quadrilateral.
The correct answer is: 430
Based on the measurements of the angles and side lengths, quadrilateral types are identified. All of these quadrilateral designs have four sides because the word "quad" implies "four," and their combined angles total 360 degrees.
They can be:
- Trapezium
- Parallelogram
- Squares
- Rectangle
- Rhombus
- Kite
Here we have given
So we know that angle sum property of a quadrilateral is 360 degree, so we have:
A + B + C + D = 360
2x + 1 + 4x - 10 + x + 15 + x + 10 = 360
8x + 16 = 360
8x = 344
x = 43
So here we used the concept of quadrilateral to understand the question. It is basically 4 sided shape which can take any figure. We also used the angle sum property of a quadrilateral which is 360 degrees. So here the value of x is 43.
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