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angle1,2 , and angle3 form a straight line. If m angle3 is six more than twice m angle1 m angle2 is 27 less than m angle3 find m angle2

Sagot :

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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