Question

In the circle mBC = 76 , the diagram is not drawn to scale.
What is angle BCP ?

Answer 1

@jdoe0001

Answer 2

hmm can't quite see it, I assume that's all the info provided

Answer 3

do you know what 76 for an arc stand for?

Answer 4

what do you mean ? I know that 76 is the measurement of arc BC .

Answer 5

right... it means a central angle

Answer 6

ok . now what about anglee p ?

Answer 7

notice the two lines coming from the center of the circle
both are "radius long" so both of them are radius to the circle, and thus are the same length

meaning they make a isosceles triangle, that is, 2 equal sides

two equal sides make equal angles at the bottom, so

Answer 8

notice the picture, can you see what BCP is?

Answer 9

52 + 52 + 76

Answer 10

or just 76 ?

Answer 11

@jdoe0001

Answer 12

76 is the central angle, from where the arc gets its value
if you notice the triangle, is an isosceles, because the 2 lines coming from the center of the circle are radius both and thus are equal

meaning the two equal sides, will make two equal angles are the bottom
if you have 76 as the central angle, atop of the triangle
then the other 2 angles take what's left from the 180 of internal angles

so 180-76 = 104, so each angle at the bottom is 104/2

Answer 13

104/2 = 52 . Thats not an answer choice though .

Answer 14

recall that the tangent line is perpendicular to a diameter line in the circle

so notice the shaded angle
notice the angle from the triangle

if you subtract the angle from the triangle, from the shaded one, you'd be left with BCP

Answer 15

Shaded angle 52 . Angle from triangle 76 . right ?