Question

The sum of two equal angles of an isosceles triangle is half of its third angle. Find the magnitude of each angle

Answer 1

Dear Student

Let the equal angles of isosceles triangle be x
Therefore x+ x+ third angle = 180 (by angle sum property of triangle)
Therefore third angle = 180-2x
But according to question 2x = (180-2x)/2
4x + 2x = 180
X = 30
Hence the angles are 30, 30, and 120.

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