The sum of the angles of an isosceles triangle and one of its outer angles = 236 degrees. Find the corners of the triangle.

| January 9, 2021 | education

The sum of the angles in any triangle is 180 degrees. Outside angle is the angle formed by the continuation of the side, its generatrix and the adjacent side. You can immediately subtract the outer corner in order to consider only the triangle:
1) 236-180 = 56 (degrees) – outer angle.
The entire unfolded angle (outside + inside) = 180 degrees. Find out one of the corners of the triangle.
2) 180-56 = 124 (degrees) – one of the corners of the triangle.
Now let’s figure out what an isosceles triangle is. This is a triangle in which two sides are equal and, therefore, two angles. Since the sum of the angles of a triangle is 180, 124 is the largest and only angle in this triangle with such a degree measure. The other two angles are equal. It is easy to recognize two unknown angles.
3) (180-124): 2 = 56: 2 = 28 (degrees) – each of two equal angles.
Answer: 124, 28, 28.



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