MATHS [2 Mark Question Answer]

Given two adjacent angles of a parallelogram are 70° and 110° respectively.

Since, we know that opposite angles of a parallelogram are equal
∴∠C = ∠A = 70° and ∠D = ∠B = 110°

The conditions that will make the ad-joining figure a square are :
(i) All sides must be equal.
(ii) Any angle is 90°.

Since, all the sides of the given figure are equal.
i.e. AB = BC = CD = DA = 6 cm
∴ The given figure is a rhombus.
This figure shall be considered as a square, if any angle is 90°.

∵ In a rectangle, diagonals are equal
⇒ AC = BD
Given, one diagonal of a rectangle = 18cm
∴ Other diagonal of a rectangle will be = 18cm
i.e. AC = BD = 18cm.