Answer:
80 degrees
Explanation:
The sum of the measures of angles in a triangle is 18 degrees.
Given that the angle measures in a triangle are (3x+4), (5x), and (7x-4), then:
[tex](3x+4)+(5x)+(7x-4)=180^0[/tex]
First, we solve the equation for x.
[tex]\begin{gathered} 3x+5x+7x+4-4=180^0 \\ 15x=180^0 \\ x=\frac{180^0}{15} \\ x=12^0 \end{gathered}[/tex]
Therefore, the measures of the angles are:
[tex]\begin{gathered} 3x+4=3(12)+4=40^0 \\ 5x=5(12)=60^0 \\ 7x-4=7(12)-4=80^0 \end{gathered}[/tex]
The measure of the largest angle in the triangle is 80 degrees.
