seg AB the diameter of a circle C is the point on the circumference is that in triangle ABC angle B is less 10 degree than angle A.find the measures of all angles of triangle ABC
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As we know diameter substend 90° on circle.
according angle C is 90°.
let the angle A be x
so, angle B is x-10
we know the sum of all angle of a triangle is 180°.
angle A+ angleB+ angle C=180°
x+x-10°+ 90°= 180°
or 2x+80°=180°
or 2x = 180°- 80°
or x= 100°/2
or x= 50°
angle A = 50°
angle B = 50°-10°=40°
angle C = 90°
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