Question

# PQRS is a Quadrilateral in which

- 70
^{0}
- 100
^{0}
- 80
^{0}
- 110
^{0}

^{0}^{0}^{0}^{0}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 angle R in the given quadrilateral.

## The correct answer is: 70^{0}

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 the angle sum property of a quadrilateral is 360 degrees, so we have:

P + Q + R + S = 360

Putting the given values in it, we get:

290 + R = 360

R = 360 - 290

R = 70 degrees.

So here we used the concept of a quadrilateral to understand the question. It is basically 4 sided shape that can take any figure. We also used the angle sum property of a quadrilateral which is 360 degrees. So here the angle R is 70 degrees.

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