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The angle measures in a triangle are (3x+4), (5x), and (7x-4). What is the measure of the largest angle in the triangle?12 degrees40 degrees60 degrees80 degrees

The Angle Measures In A Triangle Are 3x4 5x And 7x4 What Is The Measure Of The Largest Angle In The Triangle12 Degrees40 Degrees60 Degrees80 Degrees class=

Sagot :

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.

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