Answer:
[tex]m\angle a=48^o\\m\angle b=82^o\\m\angle c=50^o[/tex]
Step-by-step explanation:
we know that
The sum of the interior angles in any triangle must be equal to 180 degrees
so
[tex]m\angle a+m\angle b+m\angle c=180^o[/tex]
substitute the given values
[tex]4x^o+(7x-2)^o+(5x-10)^o=180^o[/tex]
solve for x
[tex](16x-12)^o=180^o[/tex]
[tex]16x=180+12\\16x=192\\x=12[/tex]
Find the angle measurements
[tex]m\angle a=4(12)=48^o[/tex]
[tex]m\angle b=7(12)-2=82^o[/tex]
[tex]m\angle c=5(12)-10)=50^o[/tex]
