Question

Find the x,y and z (or) <ACD from the figure​

Answer 1

Step-by-step explanation:

This is quite simple

• X= 42°{ Alternate interior angle}
• Now;<CED+24°+42°= 180°(Angle sum property of triangle)
• <CED= 180-66= 114°--

Now since AC= CE, therefore<CEA=<EAC

• THEREFORE;< EAC= 114° =y

Now finally,< A+<C+<D= 180°(Angle sum property)

42°+ (24°+z)+42°= 180°

• z= 180- 108
• z= 72°

The final answers are x=42°, y=114° and z= 72°