Question

Solve for w,x,y and z

Answer 1

Answer:

Step-by-step explanation:

2y - 6 + y = 180   {Co-interior angles}

3y - 6   = 180

      3y = 180 + 6

     3y = 186

       y = 186/3

       y = 62

y + w = 180     {Linear pair}

62 +w = 180

       w = 180 - 62

        w = 118

ΔILK ,

∠L +  ∠ I + ∠K = 180  {Angle sum property of triangle}

w + z + 30 = 180

118 + z + 30 = 180

     z +  148  = 180

               z =180-  148

                z = 32

x = z    {Alternate interior angles}

x = 32