Point O is the center of this circle. What is mBCA?

A) 56°
B) 62°
C) 72°
D) 76°

https://cdn.ple.platoweb.com/EdAssets/e5c5e05ad9ba4102bcd6eaf8bc2856fd?ts=635387446429200000

Question

Point O is the center of this circle. What is mBCA?


A) 56°
B) 62°
C) 72°
D) 76°

https://cdn.ple.platoweb.com/EdAssets/e5c5e05ad9ba4102bcd6eaf8bc2856fd?ts=635387446429200000

ineedalotofhelpplss · Answer

@RhondaSommer

myininaya · Answer

is anything else given ?

myininaya · Answer

also I assume they are asking for the measure of angle BCA

myininaya · Answer

I was thinking about using the following
$$\text{ angle formed outside }=\frac{1}{2}(\text{ difference of intercepted arcs })$$

but lack one more piece of infor to use this formula

ineedalotofhelpplss · Answer

No more information was given :/ @myininaya

peachpi · Answer

BO and BD are perpendicular and AO and AD are perpendicular b/c radii are perpendicular to tangents.

BOAD is a kite, so all the angles add up to 360°. The only angle we don't know now is <BOA.

Once you find m<BOA that will be the measure of arc BOA

peachpi · Answer

sorry arc BA

ineedalotofhelpplss · Answer

I'm looking for BCA though @peachpi

peachpi · Answer

arc BA is the intercepted arc of the inscribed angle BCA