Using the circle theorems, the value of z is 45
<h3>Circle Geometry </h3>
From the question, we are to determine the value of z
From the given information,
KM is a diameter
∴ ∠KLM = 90° (<em>Angle in a semicircle</em>)
Also, ΔKLM is isosceles
∴ ∠KML = ∠MKL (<em>Base angles of an isosceles triangle</em>)
Then,
∠KML + ∠MKL + ∠KLM = 180° (<em>Sum of angles in a triangle</em>)
2× ∠KML + 90° = 180°
2× ∠KML = 180° - 90°
2× ∠KML = 90°
∠KML = 90°/2
∠KML = 45°
Now, we can observe that
z° = ∠KML (<em>Angles in alternate segment</em>)
But,
∠KML = 45°
∴ z = 45
Hence, the value of z is 45
Learn more on Circle Geometry here: brainly.com/question/17074363
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