What does x equal?

Question

262

112

98

82

None of these

Answer 1

the 98º angle is an Inscribed Angle.

The measure of the Intercepted Arc created is 2 times the angle measure.

So its Intercepted Arc measures 196º.

The total measure of the circle is 360º

Angle x is an Inscribed Angle that marks off the intercepted arc for the rest of the circle.

360º - 196º = 164º

The inscribed angle (x) is half the measure of 164º

You got this...

Answer 2

Nice job drawing the diagram. How did you do that?

Here is the fact you need: the opposite angles of a cyclic quadrilateral are supplementary.

What would be interesting here would be proving that fact. Any ideas?