Question

The sum of interior angles of quadrilateral equals to
A) 2 right angles
B) 3 right angles
C) 4 right angles
D) None

Answer 1

Hint: After knowing the quadrilaterals and sum of their interior angles in general, we can find the number of right angles i.e. 90°angles constituting that sum of angle which will give us the required answer.

Complete step-by-step answer:
The different shapes and objects can be classified on the basis of the presence of number of sides.
So, the figures having four sides, four corners and four angles are called quadrilaterals. For example: square, rectangle, rhombus, etc.
Interior angles are those which are enclosed inside the figure. The sum of interior angles of a quadrilateral is 360°.
But, the options are given in terms of right angles, right angles refers to the angle equal to 90°. So, we need to find the measure of 360° with respect to 90°. Let the relationship between the two is x, the product of x and 90 will be equal to 360 so as to calculate the number of right angles:
$$\begin{gathered} \Rightarrow 90\times x=360 \\ \Rightarrow x={\displaystyle \frac{360}{90}} \\ \Rightarrow x=4 \end{gathered}$$
Therefore, the sum of interior angles of quadrilateral equals to 4 right angles and the correct option is C).
So, the correct answer is “Option C”.

Note: The sides of the figures are known as edges and the corners are known as edges. ‘Quad’ itself means four. Different quadrilaterals possess different properties pertaining to the length of their sides, measure of their angles but the sum of their interior angles always remain constant i.e. 360°