The angles obtained at the intersection of two straight lines are 2: 3. Find these corners.

Let us denote the angles α and β. If α: β = 2: 3, this can be written as α = 2x, β = 3x.
Angles α and β are adjacent angles. The sum of adjacent angles is 180.
α + β = 180;
2x + 3x = 180;
5x = 180;
x = 180: 5;
x = 36.
α = 2x = 36 * 2 = 720;
β = 3x = 3 * 36 = 1080
Answer. 72, 108.



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