If in triangle ABC angle A and B are exactly the same, but angle C is half as large as angle A, how much is each angle equal to?

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justaguide's profile pic

justaguide | College Teacher | (Level 2) Distinguished Educator

Posted on

To find the value of each angle of the triangle use the property that the sum of the angles of a triangle is equal to 180 degrees.

As angle C is half as large as angle A and A = B, we can write the three angles of the triangle in terms of C as C, 2C and 2C.

C + 2C + 2C = 5C = 180

=> C = 36

A = 36*2 = 72 = B

The angles of the triangle are A = 72 degrees, B = 72 degrees and C = 36 degrees.

taylormath's profile pic

taylormath | High School Teacher | (Level 2) Adjunct Educator

Posted on

The sum of the three angles in a triangle add to 180 degrees.  So if two of the angles are equal and the third is half as much as one, the developed equation is x+x+.5x=180.  Combining like terms, 2.5x=180.  Divide both sides by 2.5 and x=72. Angle A and B will be 72 degrees and angle C is 36 degrees.

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