The angle between the PM diameter and the PK chord is 52 degrees. Find the degree measure of the arc PK.
| March 12, 2021 | education
Let’s draw a segment of CM.
In the РKM triangle, the РKM angle is 90, since it is based on the diameter of the circle.
Determine the value of the angle of the РMC triangle. Angle РMK = 180 – РCM – KРM = 180 – 90 – 52 = 38.
The degree measure of the arc РK is equal to two degree measures of the inscribed angle resting on this arc.
Arc РK = 38 * 2 = 76.
Answer: The degree measure of the РK arc is 76.
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