Question

In circle A shown below, Segment BD is a diameter and the measure of Arc CB is 36°

Answer 1

Answer: The fourth option, 54°

Step-by-step explanation:

In the graph we can see that we have a triangle rectangle.

I will call each angle as the letter where it is located, the bottom angle is D, the upper left angle is C and the upper right angle is B (this last one is the angle we want to find)

This means that if the bottom angle, the angle located at D, is equal to 36°, we have that the angle located at C is equal to 90°.

And as you know, the sum of all the internal angles of a triangle must be equal to 180°, so we have:

D + C + B = 180°

90° + 36° + B = 180°

B = 180° - 90° - 36° = 54°

The correct option is the fourth one.