One corner of the triangle is 35 degrees larger than the other. Find the first and second if the third is 45 degrees.

We will solve this problem by writing an equation;

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

Then x + 35 is the measure of the second angle of this triangle;

We also know that the third angle is 45 °, and the sum of all the angles in this triangle is 180 °, we compose an equation of the following form:

x + x + 35 ° + 45 ° = 180 °;

2 * x + 80 ° = 180 °;

2 * x = 180 ° – 80 °;

2 * x = 100 °;

x = 100 °: 2;

x = 50 °.

50 ° is the measure of the first angle in this triangle;

50 ° + 35 ° = 85 ° is the measure of the second angle in this triangle.

Answer: 50 ° is the measure of the first angle in this triangle; 85 ° is the measure of the second angle in this triangle.