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

36°

72°

18°

54°

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.

"image"

step-by-step explanation:

in most of these problems, the notation is that the point with a "prime" is the image of the point without. that is, b' is the image of b.

here, there is no dilation or reflection. there is simply translation (with no direction shown). which figure you call the "preimage" and which one you call the "image" is up to you. as a matter of convention, the naming is as described above.