Answer:
x = 35, x = 27
Explanation:
(9)
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
141° is an exterior angle, thus
x + 24 + 2x + 12 = 141 , that is
3x + 36 = 141 ( subtract 36 from both sides )
3x = 105 ( divide both sides by 3 )
x = 35
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(11)
The sum of the 3 angles in a triangle = 180°
Sum the 3 angles and equate to 180, that is
2x - 9 + 3x + 2x = 180
7x - 9 = 180 ( add 9 to both sides )
7x = 189 ( divide both sides by 7 )
x = 27