inscribed angles find x?

Question

anonymous · Answer

attachment

directrix · Answer

Take a look at the attachment about inscribed angles. @inm17

directrix · Answer

@inm17    What do you think would be the measure of x?

anonymous · Answer

14?

directrix · Answer

Not quite.

The angle has measure half the arc.

So, if the angle is 28, 28 = (1/2)*x, and x = ?

anonymous · Answer

i dont understand how to solve for x thats why i asked

directrix · Answer

The inscribed angle formula states that the angle has measure half of its intercepted arc. 

The angle has measure 28. So the intercepted arc has to be 28 * 2 = 56.

28 = (1/2) * x
Multiply both sides by 2

56 = 2* (1/2) * x

56 = x

anonymous · Answer

wouldnt it be 4 since its half of 56 and yoiu have to take the half

anonymous · Answer

so when your  trying to find x in problems like thiks yolu just multiply by 2 and get the answer?

directrix · Answer

For inscribed angles of a circle where you know the angle measure and are looking for the intercepted arc, then yes. But there are many types of angles associated with a circle, and they have different formulas.