One of the adjacent corners is 33 degrees greater than half of the second adjacent corner. Find these corners.

1. Let us denote the degree measure of one of the adjacent angles by x.

2. Let’s define the degree measure of the second angle:

(33˚ + x / 2).

3. Since the sum of adjacent angles is 180˚, we compose and solve the equation:

(33˚ + x / 2) + x = 180˚;

33˚ + x / 2 + x = 180˚;

1 1/2 x + 33 + = 180˚;

1 1/2 x = 180˚ – 33˚;

1 1/2 x = 147˚;

x = 147˚: (1 1/2);

x = 147˚: (3/2);

x = 147˚ * (2/3);

x = (147˚ * 2) / 3;

x = 294/3;

x = 98˚.

4. The degree measure of one of the adjacent angles is x = 98˚.

5. What is the degree measure of the second angle?

180˚ – 98˚ = 82˚.

Answer: the degree of the first angle is 98˚, the degree of the second angle is 82˚.