In a triangle ABC, the angle B = 62 *, and the angle A is 20 * less than the angle C.
January 25, 2021 | education
| In a triangle ABC, the angle B = 62 *, and the angle A is 20 * less than the angle C. You need to find the degree measure of A, and also find out the type of triangle.
Given triangle ABC.
It is known:
Angle B = 62 °;
Angle A = Angle C – 20 °;
Find corner C.
Let the angle C be equal to x. Then we make an equation and find this angle.
60 + x + x – 20 = 180, since the sum of all angles is 180 °.
60 – 20 + 2 * x = 180;
40 + 2 * x = 180;
2 * x = 180 – 40;
2 * x = 140;
x = 140/2;
x = 70;
This means that the angle C is 70 °.
Let us find what the angle A is equal to, if it is less by 20 ° than the angle C.
70 ° – 20 ° = 50 °.
Answer: Angle A = 50 °.
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