Points K and F are taken on the circle on two different sides of the diameter AB.
| September 7, 2021 | education
Points K and F are taken on the circle on two different sides of the diameter AB. It is known that the angle KBA = 58 degrees. Find the KFB corner.
<AKB = <AFB = 90 ° – inscribed angles based on the diameter of the circle.
Consider △ AKF – rectangular, <K = 90 °.
<KAB + <KBA = 90 ° – property of sharp corners.
<KAB = 90 ° – <KBA = 90 ° – 58 ° = 32 °.
<KAB and <KFB are inscribed angles based on the arc KB.
<KAB = <KFB = 32 °.
Answer: <KFB = 32 °.
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