Question

If ABCD is a rectangle, and m_ADB = 55°, what is the value of x?2С55ABA. 80Ο ΟB. 90C. 40Ο Ο ΟD. 70E. 110F. Cannot be determined

Answer 1

D. 70 degrees

Step-by-step explanation

We have that

From the rectangle, we see that

So:

We have to name an angle in the diagram:

So, we see that AED is a triangle formed by the diagonals.

In AED, we have This means that:

=> 55 + 55 +

It is noteworthy that

Vertically opposite angles are equal.

This means that:

Option D is the answer.