In triangle ABC, angle B = 62 degrees, and angle A = 20 degrees less than angle C. Find the degree measure

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

The sum of all the angles of the triangle is 180 degrees.
We solve using the equation. We accept that the angle C = X
angle A = X-20
The equation has the form
180 = 62 + X-20 + X
We transfer all integers to one side, remembering to change the sign to the opposite
180-62 + 20 = 2X
138 = 2X
X = 69
Accordingly, the angle C = 69 degrees
Find the angle A
A = C-20 = 69-20 = 49 degrees.
Since all angles are acute, that is, less than 90 degrees, the triangle is acute-angled.
Answer: Angle A = 49, acute-angled triangle.