### Geometry Problem: Finding the Value of x**1) Find the value of x.**#### Diagram:- The diagram shows a circle with two line segments intersecting inside the circle.- One of the angles formed by the intersecting lines inside the circle is labeled as \( x^\circ \).- One of the angles on the left side of the circle is labeled as \( 40^\circ \).- Another angle on the right side of the circle is labeled as \( 96^\circ \). To solve the problem, remember that the angle \( x^\circ \) inside the circle, formed by the intersecting lines, is related to the external angles \( 40^\circ \) and \( 96^\circ \). The formula we use for such situations is:\[ x = \frac{1}{2} \times (\text{angle1} + \text{angle2}) \]Substitute the given angles:\[ x = \frac{1}{2} \times (40^\circ + 96^\circ) \]Now, calculate:\[ x = \frac{1}{2} \times 136^\circ \]\[ x = 68^\circ \]Therefore, the value of \( x \) is \( 68^\circ \).

Name: ### Geometry Problem: Finding the Value of x**1) Find the value of x.
Uploaded: 2024-03-20T06:46:55.000Z
Channel: Bartleby
Description: ### Geometry Problem: Finding the Value of x**1) Find the value of x.**#### Diagram:- The diagram shows a circle with two line segments intersecting inside the circle.- One of the angles formed by the intersecting lines inside the circle is labeled