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?

Let x be the angle c.

It is known that the angle a = x – 20 and the angle b = 62.

Since the angle a + angle and + angle c = 180, then we will draw up an equation and find its roots.

x + x – 20 + 62 = 180;

x is left on one side, and the rest is transferred to the opposite side. We get:

x + x = 180 + 20 – 62;

x + x = 200 – 62;

x + x = 138;

2 * x = 138;

x = 69.

Since the angle a is equal to x – 20, then the angle is 69 – 20 = 49 degrees.

All angles are different, which means that the triangle is arbitrary.

From this we got that the angle a is equal to 49 degrees.