Determine the values of adjacent angles if: a) one of them is three times larger than the other;

Determine the values of adjacent angles if: a) one of them is three times larger than the other; b) one of them is 52 degrees larger than the other; c) they are related as 4: 5.

Adjacent corners are 2 corners that have one common vertex and one common side. The other sides of the corners form a straight line, i.e. adjacent angles add up to 180 degrees.
Take the first corner as x.
a) The first angle is x.
The second corner is 3 * x.
x + 3 * x = 180;
4 * x = 180;
x = 180/4 = 45 g;
3 * x = 3 * 45 = 135 gr.

b) The first angle is x.
The second angle is x + 52.
x + x + 52 = 180;
x + x = 180 – 52;
2 * x = 128;
x = 128/2 = 64;
x + 52 = 64 + 52 = 116;

c) The first corner is 4 * x.
The second angle is 5 * x.
4 * x + 5 * x = 180;
9 * x = 180;
x = 180/9 = 20;
4 * x = 4 * 20 = 80 gr.
5 8 x = 5 * 20 = 100 gr.
Answer: a) 45 and 135; b) 64 and 116; c) 80 and 100.