One of the angles of the triangle is 3 times larger than the second, and the third angle is 26 ° larger

One of the angles of the triangle is 3 times larger than the second, and the third angle is 26 ° larger than the first. 1) What is the sum of the inner angles of the triangle? 2) Calculate the value of each of the inner angles of the triangle. 3) What kind of triangle are we dealing with if we classify it by angles?

Let’s introduce the variable x and denote it the first angle. Then the second angle is 3 * x, and the third is 3 * x + 26.

Since the sum of the inner angles of the triangle is 180, we will draw up an equation and find x: 3 * x + x + 3 * x +26 = 180; 7 * x = 180 – 26; 7 * x = 154; x = 22.

Now let’s find all the angles: 22; 22 * 3 = 66; 66 + 26 = 92.

If we classify this triangle by angles, then we are dealing with an obtuse triangle.