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.
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