In triangle ABC, angle A is 50 degrees and angle B is 12 times less than angle C. What is the degree measure of angle C.
April 9, 2021 | education
| If you add up all the angles in any triangle, you always get 180 °. This is one of the properties of a triangle. Let’s solve the problem using the equation, where:
x ° – angle С;
12x ° – angle B (since it is 12 times larger than angle C);
Let’s compose and solve the equation:
∠ A + ∠ B + ∠ C = 180 °;
50 + 12x + x = 180;
50 + 13x = 180;
13x = 180 – 50;
13x = 130;
x = 130/13;
x = 10 ° – angle C.
Answer: 10 °
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