Question
A triangle has angle measures of 75 degrees, 41 degrees, and (3x + 19) degrees. Solve for x.
Answers
Answered by
GPT 3.5
In a triangle, the sum of all angles is always 180 degrees.
To solve for x, we can add up the angle measures given and set them equal to 180 degrees:
Angle1 + Angle2 + Angle3 = 180
75 + 41 + (3x + 19) = 180
Simplifying the equation:
75 + 41 + 3x + 19 = 180
Combine like terms:
135 + 3x = 180
Subtract 135 from both sides:
3x = 45
Divide both sides by 3:
x = 15
Therefore, x = 15.
To solve for x, we can add up the angle measures given and set them equal to 180 degrees:
Angle1 + Angle2 + Angle3 = 180
75 + 41 + (3x + 19) = 180
Simplifying the equation:
75 + 41 + 3x + 19 = 180
Combine like terms:
135 + 3x = 180
Subtract 135 from both sides:
3x = 45
Divide both sides by 3:
x = 15
Therefore, x = 15.
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