Three beams OP, ON and OK emerge from point O, with the ON beam passing between the sides of the angle POK.
| February 17, 2021 | education
Three beams OP, ON and OK emerge from point O, with the ON beam passing between the sides of the angle POK. Determine the degree measure of the POK angle, if the PON angle = 20 degrees, the KON angle is 50 degrees greater than the PON angle.
1. The degrees to the measure of the angle POK is equal to the sum of the degree measures of the angles PON and KON.
2. It is known that the PON angle is 20 degrees, and the KON angle is 50 degrees greater than the PON angle.
3. Therefore, the KON angle is 70 degrees.
4. Hence the POK angle is 70 degrees plus 20 degrees and equals 90 degrees.
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