Question

In the given figure, if AB is parallel to CD, ∠2 = 120° + x and ∠6 = 6x. Find the measure of ∠2 and ∠6.​

Answer 1

Answer:

∠2= 144° = ∠6

Step-by-step explanation:

given :-

∠2 = 120 ° + x

∠6 = 6x

∠2 = ∠6                     (from the figure we conclude that ∠2 and ∠6 equal under coressponding exterior angle property)

120° + x = 6x

120° = 6x - x                                                  (by transposing x from LHS TO RHS)

120° = 5x

120° / 5 = x

24° = x

therefore

∠2 = 120° + x = 120° + 24° = 144°

∠6 = 6x = 6( 24° ) = 144°