HELP PLEASE!! I'm giving brainliest to the person who gives me a full correct answer! you'll get 50 points for answering and when i give you brainliest it will give you the other 50 automatically thank you so much

1)

Fact :: Reason

∠DCE = 90° :: sin ∠EDC = sin 30° = 1/2 = 8/16 = CE/DE

∠ACB = 90° :: ∠DCE and ∠ACB are vertical angles

∠ABC = 60° :: 180 - ∠CAB - ∠ACB = 60°

∠CED = 60° :: 180 - ∠EDC - ∠DCE = 60°

△CDE ⁓ △ABC :: Same angles (AAA)

2)

Let's solve for AB

sin 30° = 1/2

sin 30° = BC/AB = 15/AB

1/2 = 15/AB ⇒ AB = 30

AB = 30 in

Let's solve for AC (using another way)

AC/12 = 15/8

AC = 12 * 15 / 8   = 22.5

AC = 22.5 in

Hope I could help you! If there was anything you didn't understand, don't be afraid to ask in the comments below!

Have a good day! (●'◡'●)

step-by-step explanation: