Question

What is the measure of BDC, given that figure ADCB is a rectangle?

Answer 1

We are asked to solve for the angle of BDC in the figure which is rectangle ACBD.

Since it is a rectangle, each corner has a 90°. Initially, it was given that angle BDA is equal to 50°. Then we can solve for BDC, such as the solution is shown below:

90° = ∠ BDC + ∠ BDA
90° = ∠BDC + 50°
∠BDC = 90° - 50°
∠ BDC = 40°

The answer is 40°.