To find the angles of a triangle ABC, write an equation and find its roots. It is known that the sum of all the angles of a triangle is 180 °. Let us take the value <B for x, then <A is equal to 2x, and <C will be 6x. We get the equation:
x + 2x + 6x = 180;
9x = 180;
x = 180: 9;
x = 20 °;
2x = 2 * 20 = 40 °;
6x = 6 * 20 = 120 °.
Answer: <A = 40 °, <B = 20 °, <C = 120 °.
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