In triangle ABC, angle B is 62 degrees, and angle A is 20 degrees less than angle C.

In triangle ABC, angle B is 62 degrees, and angle A is 20 degrees less than angle C. Find the degree measure of angle A and determine the type of triangle ABC?

In triangle ABC, angle B is 62 °.

Angle A is 20 ° less than angle C.

Let’s find the degree measure of the angle A and determine the type of triangle ABC.

Let the angle C be equal to x, then the angle A is equal to x – 20.

The sum of all the angles of a triangle is 180 °.

Let’s make an equation.

angle a + angle b + angle c = 180;

x – 20 + x + 62 = 180;

x + x + 42 = 180;

2 * x + 42 = 180;

We transfer the known values ​​to one side, and the unknown values ​​to the opposite side. When transferring values, their signs change to the opposite sign. That is, we get:

2 * x = 180 – 42;

2 * x = 138;

x = 138/42;

x = 69;

Angle B is 69 °, then angle B is 69 – 20 = 49 °.

Since all angles are different, the ABC triangle is arbitrary.