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Igoryamba
3 years ago
11

In circle A shown below, BD with a line above is the diameter and the measure of arc CB is 54 degrees. What is the measure of an

gle DBC

Mathematics
2 answers:
Vinil7 [7]3 years ago
6 0
The complete question in the attached figure

we know that
the triangle ACB is an isosceles triangle
AC=AB----------> equals to the radius
so
∡ACB=∡CBA
the angle ∡CAB is equals to 54° by central angle
so
180°=54°+2*∡CBA--------> ∡CBA=[180-54]/2-----> 63°
∡CBA=63°
∡DBC=∡CBA-----------> ∡DBC=63°

the answer is
∡DBC=63°

alisha [4.7K]3 years ago
4 0

Answer:

Line segment BD is the diameter of Circle A. It is also the hypotenuse of the right triangle found inside circle A.

angle C = 90°

angle D = 54°/ 2 = 27°

angle B = 180° - 90° - 27° = 63°

The measure of <u>∡DBC is 63°</u>

Give Brainliest if you please

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