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Angles ABC and DBC are complementary angles. The measure of angle ABC is 36 degrees. What is the measure of an angle DBC?

A. 36 degrees
B. 54 degrees
C. 72 degrees
D. 144 degrees

1 answer

We know that complementary angles add up to 90 degrees. Therefore:

angle ABC + angle DBC = 90 degrees

Substitute the given value for angle ABC:

36 degrees + angle DBC = 90 degrees

Subtract 36 degrees from both sides:

angle DBC = 54 degrees

Therefore, the answer is B. 54 degrees.