In a triangle ABC, the outer angle at the vertex C is 100 degrees, find the degree values

In a triangle ABC, the outer angle at the vertex C is 100 degrees, find the degree values of all the angles of the triangle if the angle A refers to the angle B as 2: 3

Let the angle A be determined by us through the mathematical expression 2a.

Therefore, according to the conditions of our assignment, the angle B can be represented by us using the expression 3a.

But after all, from the conditions of this task, we know for sure that the external angle at the vertex C (and therefore the sum of these angles) is 100 °, so we can write down the equation and find out what our angles will be equal to:

2a + 3a = 100;

5a = 100;

a = 20;

2 * 20 = 40;

3 * 20 = 60.

Answer: Under these conditions, angle A is 40 °, and angle B is 60 °.

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