ABC-triangle points P and K are internal points of the segment BC and AC, respectively, KP = PC.
| August 22, 2021 | education
ABC-triangle points P and K are internal points of the segment BC and AC, respectively, KP = PC. Calculate the degree measure of the angle PSC, if the angle AKP = 120 degrees
The AKP angle is adjacent to the СKP angle, the sum of which is 180, then the СKP angle = (180 – ABP) = 180 – 120 = 60.
By condition, KP = PC, then the triangle KPС is isosceles with the base of the KС, then the angle PCК = СKP = 60.
Answer: The PCК angle is 60.
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