Question

Quadrilateral ABCD is a rhombus such that ∠ABC = 40°, then ∠ADC is equal to _________​

Answer 1

Answer:

Step-by-step explanation:

angle ADC=40°(rhombus is a parallelogram.in all parallelograms opposite angles are equal)

Answer 2

Given: Quadrilateral ABCD is a rhombus such that ∠ABC = 40°, then ∠ADC is equal to _________​.

To find: The correct answer to the blank

Solution: A rhombus is a special case of a parallelogram, and it is a four-sided quadrilateral. In a rhombus, opposite sides are parallel and the opposite angles are equal. All the sides of a rhombus are equal in length, and the diagonals bisect each other at right angles. In a rhombus, opposite sides are parallel and the opposite angles are equal, which is a property of parallelograms.

In the given rhombus ABCD, ∠ABC (= 40°) is given and we are asked to find ∠ADC. We can see that these angles are opposite to each other in rhombus ABCD. And as we already know that the opposite angles are equal in a rhombus, we can say that ∠ADC = ∠ABC = 40°.

Therefore,

Quadrilateral ABCD is a rhombus such that ∠ABC = 40°, then ∠ADC is equal to 40°.

Answer: 40°