One of the angles of an isosceles triangle is 63 °. Find all the corners of a given triangle.

The problem can have 2 solutions:

1) It is known that an isosceles triangle has equal angles at the base, which means that we will find the sum of the angles at the base:

63 ° + 63 ° = 126 °

Let’s find the last angle if it is known that the sum of all angles in a triangle is 180 °:

180 ° – 126 ° = 54 °

Answer: 63 °; 63 °; 54 °.

2) If 63 ° is equal to the angle of the apex of the triangle.

Find the sum of the remaining angles:

180 ° – 63 ° = 117 °

Find 1 angle at the base:

117 °: 2 = 58.5 °

Answer: 58.5 °; 58.5 °; 63 °.



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