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Mathematics
OpenStudy (anonymous):

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

OpenStudy (anonymous):

OpenStudy (campbell_st):

to prove it join AC then angle CAB = 36 angle at the centre subtended by arc CB angle CDB = 18 ( angle at the centre is double the angle at the circumference standing on the same arc CB) Angle BCD = 90 ( angle in a semi circle) therefore angle DBC = 72 ( angle sum of a triangle)

OpenStudy (anonymous):

Oh, I was using the wrong equation. I kept getting 36. Thank you!

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