Question

GEOMETRY 30POINTS!!!!! PLS HELP
Find the value of x.​

Answer 1

Answer:34 degrees

Sep-by-step explanation:

100-32=68 68/2=34

x=34degrees

Answer 2

D) 34

Explanation:

We can find the value of x by applying 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.

From inspection of the given diagram:

• The angle formed by the two lines at the exterior point is x°.
• The intercepted arcs are 100° and 32°.

Therefore, according to the Intersecting Secants Theorem:

`\begin{aligned}\implies x^(\circ)&=(100^(\circ)-32^(\circ))/(2)\\\\x^(\circ)&=(68^(\circ))/(2)\\\\x^(\circ)&=34^(\circ)\\\\x&=34\end{aligned}`

Therefore, the value of x is 34.