The value of x that justifies the given theorem is 12
The point where two lines meet is known as an angle
- From the given diagram, we can see that angles 2 and 3 are vertically opposite angles i.2 m<1 = m<2
Given the following angles
m<2 = 4x - 6
m<3 = 2x + 18
Equating both expressions:
4x - 6 = 2x + 18
Collect the like terms
4x - 2x = 18 + 6
2x = 24
x = 24/2
x = 12
Hence the value of x that justifies the given theorem is 12
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