Find an angle that is 30 degrees larger than its adjacent angle.

Adjacent angles are formed when two straight lines intersect. The sum of two adjacent angles is 180 degrees.

1) One of the adjacent angles is x degrees.

2) Another of the adjacent angles is (x + 30) degrees.

3) Let’s compose and solve the equation.

x + (x + 30) = 180;

x + x + 30 = 180;

x + x = 180 – 30;

2x = 150;

x = 150/2 = 75;

x = 75;

4) One adjacent angle is x = 75 degrees.

5) Determine what the other adjacent angle is.

x + 30 = 75 + 30 = 105 degrees.

Answer: The other angle is 105 degrees.