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akephd
I believe x is 30 degrees.

The equilateral triangle has each angle equal to 60 degrees. So the small arc near x is also 60. The angle x is half the arc so would be 30.
This also makes sense because the triangle it forms with angle x and the center has center angle of 60 and angle formed by tangent and radius of 90. So it is a 30-60-90 triangle, making angle x 30.

abidemiokin

The give triangle placed in the circle projecting outward is right angled since the line is tagential to the line. The value of x from the given figure is 30 degrees

Circle geometry

The given triangle placed in the circle projecting outward is right angled since the line is tagential to the line.

Also the triangle in the circle is equilateral.

Calculate the value of x

Since the sum of interior angle of a triangle is 180degrees, hence;

x + 60 + 90= 180

x + 150 = 180

x = 180 - 150

x = 30

Hence the value of x from the given figure is 30 degrees

Learn more on circle geometry here:  https://brainly.com/question/24375372

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