Question

NO LINKS!! URGENT HELP PLEASE!!!

Find the value of x.

Answer 1

x = 62

Explanation:

When a tangent and a secant, two secants, or two tangents intersect outside a circle then the measure of the angle formed is one-half the positive difference of the measures of the intercepted arcs.

x = 1/2(164 - 40)

x = 1/2(124)

x = 62

Answer 2

`x = 62`

Explanation:

The given diagram shows a circle with two secants drawn to the circle from one exterior point. The angle formed by the two secants is x°. The two intercepted arcs are 164° and 40°.

To find the value of x, we can use the Intersecting Secants Theorem.

Intersecting Secants Theorem

If two secant segments are drawn to the circle from one exterior point, the measure of the angle formed by the two lines is half of the (positive) difference of the measures of the intercepted arcs.

Therefore, according to the Intersecting Secants Theorem:

`x^(\circ)=(1)/(2)\left(164^(\circ)-40^(\circ)\right)`

Solving the equation for x:

`x^(\circ)=(1)/(2)\left(124^(\circ)\right)`

`x^(\circ)=62^(\circ)`

`x=62`

Therefore, the value of x is 62.