One corner of the triangle is 20 degrees smaller than the other and half the third. Find this angle.

We will solve this problem by writing an equation;

Let x be the measure of the first angle in a given triangle;

Then – x + 20 ° is the measure of the second angle in this triangle;

2 * x – this measure of the third angle in this triangle;

We also know that the sum of all three angles in this triangle is 180 °, we compose an equation of the following form:

x + x + 20 ° + 2 * x = 180 °;

4 * x + 20 ° = 180 °;

4 * x = 180 ° – 20 °;

4 * x = 160 °;

x = 160 °: 4;

x = 40 °;

40 ° is the measure of the angle in this triangle to find.

Answer: 40 ° is the measure of the angle in this triangle that you want to find.