4. In an isosceles triangle, if the vertex angle is twice the sum of the base
angles, calculate the angles of the triangle.
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Step-by-step explanation:
Let the base angles be " X"
A/Q .
2(x + x) = vertex angle
As we know.. ( Angle sum property of Triangle)
= 2x + 2(x + x)
=2x + 4x = 180degrees
6x = 180 degree
hence,,,,, x = 180/6 = 30
Base angles are 30 degree each
& Vertex angle = 2(x+x)
= 120 degrees
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