Question

Point O is the center of this circle. What is mzBCA?
A. 56
B. 62
C. 72
D.76

Answer 1

B

Explanation:

∠ ADB and ∠ AOB sum to 180° , that is

56° + ∠ AOB = 180° ( subtract 56° from both sides )

∠ AOB = 124°

An angle on the circle is half the central angle subtended on the same arc , so

∠ BCA =
`(1)/(2)` ∠ AOB =
`(1)/(2)` × 124° = 62°