Answer :
Since it's an angle on a straight line, the value of angle 2 is 23.25°
Angle 1 = m
Angle 2 = m - 27
Angle 3 = 2m + 6
It should be noted that the sum of angles in a straight line is equal to 180°, therefore we need to equate all the angles given to 180°. This will be:
m + (m - 27) + (2m + 6) = 180°
m + m - 27 + 2m + 6 = 180°
4m = 180° + 27° - 6°
4m = 201°
m = 201/4
m = 50.25°
Therefore, angle 2 will be:
m - 27 = 50.25 - 27 = 23.25°
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