is a diameter of circle O. If m∠ACB = 30°, what is m∠DBA? A. 30° B. 50° C. 60° D. 70° E. 90°

Every triangle equals 180 degrees, and we're trying to find the angle of DBA. So, we can identify DAB as a 90 degree angle to start. Then we can identify that ACB = ADB, meaning ADB is 30 degrees. With that information, we have this equation:

DBA = 180 - 90 - 30

DBA = 60

Answer Link

jainveenamrata jainveenamrata · Answer 2 · 2022-08-16T08:29:11+02:00

The measure of the angle ∠DBA will be 60°. Then the correct option is C.

What is a circle?

It is the close curve of an equidistant point drawn from the center. The radius of a circle is the distance between the center and the circumference.

The diagram is given below.

BD is the diameter of circle O. If m∠ACB = 30°.

We know that the central angle is double the angle at the periphery that was subtended by the same chords.

∠AOB = 2∠ACB

∠AOB = 2 x 30

∠AOB = 60°

We know that the triangle AOB is an equilateral triangle, in which each angle will be 60°.

Thus, the measure of the angle ∠DBA will be 60°.

Then the correct option is C.

More about the circle link is given below.

https://brainly.com/question/11833983

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