Answer:
The largest angle will be [tex]90[/tex]°
Step-by-step explanation:
Given the ratio of the measures of the angles of triangle is [tex]10:3:7[/tex]
Let the angle of the triangle be [tex]10x,\ 3x,\ 7x[/tex]
Also, we know the sum of interior angle of any triangle will be equal to [tex]180[/tex] degrees.
So, we can write an equation
[tex]10x+3x+7x=180\\20x=180\\x=\frac{180}{2}\\x=9[/tex]
Now, we are told to find the largest angle.
We can see the [tex]10x[/tex] is largest among [tex]3x\ and\ 7x[/tex].
So, the largest angle will be [tex]10x=10\times 9=90[/tex]°