One angle of the triangle is 47 degrees, and the third angle is 23 degrees

One angle of the triangle is 47 degrees, and the third angle is 23 degrees greater than the second. Find the degree measures of the unknown angles.

We will solve this problem by writing an equation;

Let x – degrees is the measure of the second angle in this triangle;

Then x + 23 – degrees is the measure of the third angle in this triangle;

It is also known that the sum of all angles in a given triangle is 180 °, making up an equation of the following form:

x + x + 23 ° + 47 ° = 180 °;

2 * x + 70 ° = 180 °;

2 * x = 180 ° – 70 °;

2 * x = 110 °;

x = 110 °: 2;

x = 55 °.

55 ° is the measure of the second angle in this triangle;

55 ° + 23 ° = 78 ° is the measure of the third angle in this triangle.

Answer: 55 ° is the measure of the second angle in this triangle; 78 ° is the measure of the third angle in this triangle.