In a triangle, the sum of two equal interior angles is 6 degrees greater than the third. Find a larger angle.

univerkov | February 12, 2021 | education

The sum of all the angles of a triangle is 180 °.

<A + <B + <C = 180 °

Since <A = <B, then <A + <B = 2 * <A;

By condition, the sum of two angles is 6 ° more than the third, which means:

2 * <A = <C + 6 °;

<C + 6 ° + <C = 180 °;

2 * <C + 6 ° = 180 °; 2 * <C = 180 ° – 6 ° = 174 °;

<C = 174: 2 = 87 °.

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