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What is the measure of these angles of a triangle x plus 4x plus x plus 6 equals?
Wiki User
∙ 13y ago
The three angles are 'x', 4x, and (x+6) .
We know that the sum of the interior angles of every triangle is always 180°,
so
x + 4x + (x+6) = 180°
Remove parentheses on the left side:
x + 4x + x + 6 = 180°
Subtract 6 from each side:
x + 4x + x = 174°
Combine the 'x' terms on the left side:
6x = 174°
Divide each side by 6:
x = 29°
The three angles are:
'x' . . . . . 29°
4x . . . . . 116°
x+6 . . . . 35°
Check:
29° + 116° + 35° = 180°
Wiki User
∙ 13y ago
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