Two adjacent angles, one and two form a resulting angle that measures 135 if M1 equals 2X and M2 equals 2X +7 what are the two unknown angle measures?

64
71
32
158

1 answer

Let's solve the equation.

Given that M1 = 2X and M2 = 2X + 7, we can set up the equation:

M1 + M2 = 135

Substituting the given values,

2X + (2X + 7) = 135

4X + 7 = 135

Subtracting 7 from both sides,

4X = 128

Dividing by 4,

X = 32

Now we can substitute the value of X back into the equations to find the angle measures.

M1 = 2X = 2(32) = 64

M2 = 2X + 7 = 2(32) + 7 = 71

Therefore, the two unknown angle measures are 64° and 71°.