The correct answer is option D. which is the angle x will be 38 degrees.
What is the angle of arc theorem?
The measure of the angle created when two chords collide inside a circle is one-half the sum of the arcs intercepted by the angle and its vertical angle.
Here we have a measure of arc AB = 58 and the measure of arc CD = 18, So what is the value of x?
The value of x will be calculated by using the angle of arc theorem.
x = Sum of the arcs / 2
x = ( 58 + 18 ) / 2
x = ( 38 degrees )
Therefore the correct answer is option D. which is the angle x will be 38 degrees.
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