Answer:
m∠G = 121°
Step-by-step explanation:
The sum of angle measures of a triangle is 180°. Then ...
x + (x -5) + (3x+25) = 180
5x +20 = 180 . . . . simplify
5x = 160 . . . . . . . . subtract 20
x = 32 . . . . . . . . . . divide by 5
3x+25 = 3(32) +25 = 121 . . . . the measure of G in degrees
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Check
The other two angles are
Then the total of the angle measures is
x + (x-5) + (3x+25) = 32° + 27° + 121° = 180° . . . as it should be
