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If m<2 4x-6 and m<3=2x+18 for what value of x is equal to b which theorem justifies your answer proving parallel lines

If Mlt2 4x6 And Mlt32x18 For What Value Of X Is Equal To B Which Theorem Justifies Your Answer Proving Parallel Lines class=

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Abidemiokinidn

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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