Question

one of the angle of a triangle is equal to the sum of the other two equal angles.what is that angle​

Answer 1

Answer:

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Let the angles be x°, y° , z° respectively

$z \: \\ \huge{ \small{x}} \triangle{ \small{y} }$

$x + y = z...(1)$

Angle sum property of a triangle = 180°

$x + y + z = 180 \\ x + y = 180 - z$

Put this in eq (1)

$360 - z = z \\ z + z = 180 \\ 2z = 180 \\ z = \frac{180}{2} \\ z = \frac{ \cancel{180}}{ \cancel{2}} \\ z = \boxed{90}$

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