Question

Solve for w,x,y and z

Answer 1

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