One of the exterior angle of a triangle is 120 and its interior
opposite angles are in the ratio 5 : 3. Find all the angles of the
triangle.
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In a triangle
The exterior angle = Sum of opposite interior angles
Let the interior angles be = 5x and 3x
Now according to the formula
5x + 3x = 120
8x = 120
x = 120/8
x = 15
Now
1st angle = 5x = 5*15 = 75
2nd angle = 3x = 3*15 = 45
The exterior angle = Sum of opposite interior angles
Let the interior angles be = 5x and 3x
Now according to the formula
5x + 3x = 120
8x = 120
x = 120/8
x = 15
Now
1st angle = 5x = 5*15 = 75
2nd angle = 3x = 3*15 = 45
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