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Papessa [141]
3 years ago
10

In circle K, what is the value of x?

Mathematics
2 answers:
leonid [27]3 years ago
4 0
X=15 degrees if we assume that the blank angle is a 90 degree angle...

Hope this helps :D
erastova [34]3 years ago
4 0

Answer:

The correct option is 4.

Step-by-step explanation:

Given information: K is the center of the circle. AB is the diameter of the circle.

Angle subtended by a diameter is always a right angle. It the means the measure of that angel is 90 degree.

\angle C=90^{\circ}

According to the angle sum property, the sum of interior angles of a triangle is 180 degree.

Using angle sum property in triangle ABC, we get

\angle A+\angle B+\angle C=180^{\circ}

75^{\circ}+x+90^{\circ}=180^{\circ}

x=15^{\circ}

Therefore the measure of x is 15 degree. Option 4 is correct.

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