Sin=12(3)=76(tk87) hope this helped you have a nice day
The diagonals of a square bisect one another and are perpendicular.
so 21x+ 16.5 = 90
subtract 16.5 from each side
21x = 73.5
divide by 21 on each side
21x/21 = 73.5 /21
x = 3.5
1 is to a because corresponding angles are located in the same location, comparative to each line.
2 is to d because one, they are on the same side of the transversal, and two, they are "facing" each other.
3 is to c because vertical angles are formed opposite to each other when two lines intersect, like shown.
4 is to b because they are on different sides of the transversal, and are "facing" each other.
5 is to e because they are not "facing" each other, and they are on different sides of the transversal.
Sin(angle) = opposite leg / hypotenuse
Sin(49) = k/6
K = 6 * sin(49)
K = 4.5283 ( Round answer as needed)