One of the angles of the triangle is 25 degrees, and the second angle is 35 degrees

One of the angles of the triangle is 25 degrees, and the second angle is 35 degrees greater than the third. What is the larger angle of the triangle?

In order to find the larger angle of the triangle, we will compose and solve the equation.

And let’s start by recalling the theorem on the sum of the angles of a triangle and it says that the sum of the angles of a triangle is 180 °.

From the condition, we know that one angle is 25 °, and we also know that the second angle is 35 ° greater than the third.

Let’s denote the third angle as x °, then the second – (x + 35) °.

Let’s compose and solve the equation:

25 + (x + 35) + x = 180;

25 + x + 35 + x = 180;

x + x = 180 – 25 – 35;

2x = 180 – 60;

2x = 120;

x = 60 °.

x + 35 = 60 + 35 = 95 ° is the larger angle of the triangle.