The extended angle NPK is divided by the PK ray into two angles NPR and RPK, find the degree

The extended angle NPK is divided by the PK ray into two angles NPR and RPK, find the degree measures of these angles if the NPR angle is half the RPK angle.

180 ° has an NPK extended angle.

The first angle NPR conventionally has the values “x”, the second angle RPK has the values “y”.

Let’s make the equations: x + y = 180 °

According to the specification, the angle “y” is 2x

We get the equations:

x + 2x = 180, °

3x = 180 °,

x = 180 ° / 3,

x = 60 °,

Angle y = 2 * 60 °,

y = 120 °.

Let’s check: 60 ° + 120 ° = 180 °.

Answer: first angle 60 °, second angle 120 °