Find the angle A of the triangle ABC if the angle B is 30 degrees, and the angle C is 12 degrees. greater than angle B.

Let’s find the size of the angle C, for this it is necessary to increase the size of the angle B by the indicated difference with the angle C:

30 ° + 12 ° = 42 ° is the size of this angle B;

Let’s find the sum of the angles C and B, for this the measure of the angle B we add the measure of the angle C:

30 ° + 42 ° = 72 ° is a measure of two angles B and C together;

Let’s find the size of the angle A, since the sum of all the angles in the triangle is 180 °, then for this it is necessary to subtract the measure of the two angles B and C together from 180 °:

180 ° – 72 ° = 108 ° is the size of this angle A.

Answer: 108 ° is the size of this angle A.



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