An exterior angle of a triangle measures 110 degree and its interior opposite angles are the ratio2:3. Find the angles of the triangle.
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x =22 tis is the answer
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Let the interior opposite angles of triangle are 2x and 3x respectively.
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Exterior angle of a triangle is equal to the sum of its interior opposite angles.
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Therefore,
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Hence, the interior opposite angles of triangle are:
2x = 2(22) = 44°
3x = 3(22) = 66°
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Sum of all angles of the triangle is 180°.
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Therefore,
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