if one angle of a triangle is equal to the sum of other two show the triangle is a right Triangle
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Name the three angles x, y, z.
Angle x=y
Angle z=right angle
=90°
Sum of all angles = 180°
=x+y+z=180°
=y+y+90°=180° (because x=y)
=2y+90°=180°
=2y=180°-90°
=2y=90°
=y=90°/2
=y=45°=x
So, if the angle x and y = 45°, then it is a right angle triangle.
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