Question

Can someone help me solve this problems

Answer 1

x = 4 and x = - 9

In both cases the angles inside the parallel lines are same sided interior angles

24x - 1 + 20x + 5 = 180

44x + 4 = 180 (subtract 4 from both sides )

44x = 176 ( divide both sides by 44 )

x = $\frac{176}{44}$ = 4

Similarly

x + 109 + x + 89 = 180

2x + 198 = 180 ( subtract 198 from both sides )

2x = - 18

x = $\frac{-18}{2}$ = - 9