Two adjacent corners are given. One corner is 40 degrees larger than the other. What is the size of each of these angles.

We solve this problem using the equation:
let x – ° one angle, then x + 40 – ° second angle.
We know that these two angles are adjacent, the sum of these angles is 180 °.
Let’s make the equation:
x + x + 40 ° = 180 °;
2 * x + 40 ° = 180 °;
2 * x = 180 ° – 40 °;
2 * x = 140 °;
x = 140 °: 2;
x = 70 °.
70 ° – one corner;
70 ° + 40 ° = 110 ° is the second angle.
Answer: 70 ° is one angle, 110 ° is the second angle.