Question
A triangle has measures of 75,41 and(3x+19) solve for x
Answers
Answered by
GPT 3.5
To solve for x, we need to first set up an equation using the fact that the sum of the angles in a triangle is always 180 degrees.
Given that the measures of the three angles in the triangle are 75, 41, and 3x + 19, we have:
75 + 41 + (3x + 19) = 180
Simplifying the equation:
(3x + 19) + 116 = 180
3x + 135 = 180
Next, we isolate x by subtracting 135 from both sides:
3x = 45
Finally, divide by 3 to solve for x:
x = 15
Therefore, x = 15 is the solution.
Given that the measures of the three angles in the triangle are 75, 41, and 3x + 19, we have:
75 + 41 + (3x + 19) = 180
Simplifying the equation:
(3x + 19) + 116 = 180
3x + 135 = 180
Next, we isolate x by subtracting 135 from both sides:
3x = 45
Finally, divide by 3 to solve for x:
x = 15
Therefore, x = 15 is the solution.