we have given the m∠1 = 4x + 23 and m ∠2 = 2x - 5. so, the value of x would be equal to 27 degrees.

What is linear pair?

Linear pair of angles are produced when two lines intersect each other at a point. The sum of angles of the linear pair is always 180 degrees.

we have given the m∠1 = 4x + 23 and m ∠2 = 2x - 5

We know that the sum of angles of the linear pair is always 180 degrees.

m∠1 + m ∠2 = 180

4x + 23 + 2x - 5 = 180

6x + 18 = 180

6x = 180 -18

x = 162/6

x = 27

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