What is m∠G ?

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1 Answer
Nov 10, 2017

#m /_G = color(blue)(121^circ)#

Explanation:

The sum of the interior angles of a triangle is always #180^circ#

Therefore
#color(white)("XXX")x+(x-5)+(3x+25)=180#

#color(white)("XXX")rarr 5x+20=180#

#color(white)("XXX")rarr 5x=160#

#color(white)("XXX")rarr x=32#

SInce #m/_G# is given as #(3x+25)^circ#

#color(white)("XXX")m/_G=(3 * (32)+25)^circ=(96+25)^circ=121^circ#