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Answer:
x = 65°
Step-by-step explanation:
The interior angle of the triangle and 140° are adjacent and supplementary, thus
interior angle = 180° - 140° = 40°
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
105° is an exterior angle of the triangle, thus
x + 40° = 105° ( subtract 40° from both sides )
x = 65°
Answer:
x = 3
Step-by-step explanation:
Mathematically, the mean is the sum of the numbers divided by the count of the numbers
The count of the numbers is 5
Thus;
( 4 + 8 + 9 + x + 2x)/5 = 6
(21 + 3x)/5 = 6
21 + 3x = 6(5)
21 + 3x = 30
3x = 30-21
3x = 9
x = 9/3
x = 3