Question

Quadrilateral PQRS shown below has sides drawn such that OR RS. If m

(a) 23°

(b) 38°
(c) 53°
(d) 90°

Answer 1

In the given quadrilateral PQRS, option (d) 90° is the only possible value for angle ORS.

Step-by-step explanation:

In the given quadrilateral PQRS, it is stated that OR < RS.

The sum of the angles in a quadrilateral is 360 degrees.

Since OR < RS, it means that angle ORS is the smallest angle in the quadrilateral.

Therefore, for angle (a) to be 23°, angle ORS must be greater than 23°. This is not possible as angle ORS is the smallest angle in the quadrilateral. Hence, option (a) 23° is not possible for angle ORS.

Similarly, we can check for the other options (b), (c), and (d). Only option (d) 90° is possible for angle ORS.