Question

In the figure, what is the value of x?

Answer 1

Answer:x=90 °

Step-by-step explanation:

In any circle the exterior angle formed is half of the major arc - minor arc .

Angle formed by tangents or secants = $\frac{1}{2}(Major arc - minor arc )$

The sum of measure of arcs inany circle is 360°.

Minor arc is given as x°.So Major arc = 360-x.

Substituting the given values in the formula :

$x=\frac{1}{2}(360-x-x)$

$x=\frac{1}{2}(360-2x)$

x=180-x

Adding x both sides we have:

2x=180.

Dividing both sides by 2.x= 90.

Answer 2

1. C 2. B 3. D 4. B 5. C