One of the angles that are obtained by the intersection of two straight lines is 50 degrees

One of the angles that are obtained by the intersection of two straight lines is 50 degrees less than the other. Find these angles.

When two straight lines intersect, four undeveloped corners are formed. The sum of any two adjacent angles is 180 ° (since it forms a flat angle). Let us express the smaller angle in terms of x and form the equation:

x + (x + 50 °) = 180 °;

x + x + 50 ° = 180 °;

2x + 50 ° = 180 °;

2x = 180 ° – 50 °;

2x = 130;

x = 130/2;

x = 65 ° – smaller angle;

x + 50 ° = 65 ° + 50 ° = 115 ° – larger angle.

Answer: 65 °; 65 °; 115 °; 115 °