if the vertical angle is twice the measure of each base angle of an isosceles triangle find the measure of each angle??????????????
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Since the triangle is isosceles and vertical angle is different, the base angles must be equal to each other let x
hence vertical angle = 2x
now, from angle sum property of a ∆
2x + x + x = 180°
4x = 180°
x = 45°
hence each base angle is equal to 45°
vertical angle = 2x = 2*45° = 90°
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