Given: l || m;< 1 = 20x + 5; <2 = 24x - 1

Question

Given: l || m;< 1 = 20x + 5; <2 = 24x - 1

 

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Find the value of x.
Demonstrate theorems about lines and angles through calculations.

 

help me please im so confused

Answer 1

∠1 and ∠2 are interior angles between parallel lines that are on the same side of a transversal, so they are supplementary.

Therefore, (20x+5)+(24x-1) = 180

 

                                44x = 176

 

                                   x = 4