When two straight lines intersect, one of the obtained angles is 1) 75 degrees

When two straight lines intersect, one of the obtained angles is 1) 75 degrees 2) 120 degrees find the degree measures of the remaining angles

When two straight lines intersect, four vertical corners and four adjacent corners are obtained.
The four vertical angles add up to three hundred and sixty degrees, and the opposite angles are equal.
Adjacent angles add up to one hundred and eighty degrees.
1. Find the degree measures of the remaining angles.
a) The corners are vertical.
75 + 75 = 150; (360-150) / 2 = 105;
b) The corners are adjacent.
180-75 = 105;
Answer: Two angles are 75 degrees, and the other two are 105 degrees.
a) The corners are vertical.
120 + 120 = 240; (360-240) / 2 = 60;
b) The corners are adjacent.
180-120 = 60;
Answer: Two angles are 120 degrees, the other two are 60 degrees.