Find the value of x for arc ab = 38° and arc cb = 25°.

Step-by-step explanation:

We have been given an image of a circle. We are asked to find the value of x.

Upon looking at our given diagram, we can see that angle x is formed by intersection of chords BD and AC inside circle.

To solve our given problem, we will use intersecting chords theorem, which states that the measure of an angle formed by two intersecting chords inside a circle is half the sum of intercepted arcs.

Using intersecting chords theorem we can set an equation as:

Therefore, the value of x is 31.5 degrees.

set each factor equal to 0

4x-3 = 0

2x-1 = 0

solve for x.

4x-3=0

4x=3

x= 3/4

solve for x. 

2x-1= 0

2x= 1

x= 1/2

eventually after a few more steps, your answer should be 1/2 is less than or equal to x and 3/4 is greater than or equal to x