ANSWER
C. 58°
EXPLANATION
The sum of the interior angles of a triangle is 180°.
We sum all the three angles to obtain,
[tex]8x+(14x+2)+(10x+50)=180[/tex].
We group like terms to get,
[tex]8x+14x+10x+2+50=180[/tex].
Simplify,
[tex]32x+52=180[/tex].
Combine like terms to get,
[tex]32x=180-52[/tex].
Simplify,
[tex]32x=128[/tex].
Divide both sides by 32 to get,
[tex]x=4[/tex].
We substitute the value of x into the expression for
[tex]m\:<\:R=14x+2[/tex].
This implies that,
[tex]m\:<\:R=14(4)+2[/tex].
[tex]m\:<\:R=56+2[/tex].
[tex]m\:<\:R=58[/tex].
The correct answer is C
