contestada

Segment GH is the diameter of a circle. If point K is located on the circle, which of the following could be the measure of angle GHK

A 59°
B 99°
C 123°
D 180°

Respuesta :

check the picture below

now, based on Thales theorem, the angle at K will always be 90°, that means, the other two angles, G and H, will always share the other 90°, since the sum of all internal angles is 180°, so, either G or H, will never be 90°, will always be less than 90°, always an acute angle
Ver imagen jdoe0001

The angle subtends by the diameter at the circumference is 90 degrees. Then the other two angles will be an acute angles. Then the correct option is A.

What is a circle?

It is a locus of a point drawn an equidistant from the center. The distance from the center to the circumference is called the radius of the circle.

Segment GH is the diameter of a circle.

If point K is located on the circle, then the measure of angle GHK will be

We know that the angle subtends by the diameter at the circumference is 90 degrees.

Then the other two angles will be an acute angles.

Then in the options, there is only one acute angle that is 59 degrees.

More about the circle link is given below.

https://brainly.com/question/11833983

#SPJ2