In an obtuse isosceles triangle ABC, one of the angles is 32 degrees. Find the rest of the corners.

Since the triangle is isosceles, the angles at the base are equal. Since the triangle is obtuse, the specified angle is adjacent to the base. Then the other adjacent angle is also 32 °.

The sum of the angles of the triangle is 180 °, then the third angle is:

180 – 32 – 32 = 116 °

Answer: The angles are 32 ° and 116 °.




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