The sum of all angles in a quadrilateral is equal to how many right angles.

# The sum of all angles in a quadrilateral is equal to how many right angles.

1. A
2
2. B
3
3. C
4
4. D
360

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### Solution:

Concept- 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.
Quadrilateral features, particularly the angle sum property, will be used. $\left(n-2\right){180}^{o}$ is the formula for the angle sum of an n-sided polygon.
We are aware that a polygon with four sides is a quadrilateral. It might or might not be typical. Any angle with a value of 90 is a right angle. In order to get the number of right angles in a quadrilateral, we will first find the total number of angles and then divide that number by 90.
The total of a quadrilateral's angles,
=$\left(n-2\right){180}^{o}=\left(4-2\right){180}^{o}={360}^{o}$
The number of right angles in 360 degrees is
=$\frac{360}{90}=4$
Hence, the correct answer is option 3) 4.

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