Let the triangle ABC be given is isosceles, respectively AB = BC and the angle 1 is 130 degrees. What is the second angle?
| July 13, 2021 | education
The angles of a triangle add up to 180 degrees.
In an isosceles triangle, the two angles at the base are equal.
If we assume that the known angle is adjacent to the base, then the second angle adjacent to the base is also 130 degrees.
In this case, the sum of the angles exceeds 180 degrees (130 +130), which means our assumption is not correct.
Therefore 130 degrees is the angle of the apex of the triangle.
The base angles add up to 180 degrees – 130 degrees = 60 degrees.
The angles at the base, and they are equal to each other, are equal to 60 degrees: 2 = 30 degrees.
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