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ILL GIVE BRAINILEST: Write an equation for the triangle and solve the equation to find the value of the variable then find the angle measures

ILL GIVE BRAINILEST Write An Equation For The Triangle And Solve The Equation To Find The Value Of The Variable Then Find The Angle Measures class=

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Step-by-step explanation:

The sum of the interior angles of a triangle is equal to 180°. So from the figure, we can see that

[tex]m + 2m + (m + 10) = 180[/tex]

Collecting all similar terms, we get

[tex]4m + 10 = 180 \Rightarrow 4m = 170[/tex]

or

[tex]m = 42.5°[/tex]

So the angle measures are now as follows:

[tex]m = 42.5°[/tex]

[tex]2m = 85°[/tex]

[tex]m+ 10 = 52.5°[/tex]

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