In the diagram, MQ//RS, < TUV = 70o and < RLV = 30o. Find the value of x

In the diagram, MQ//RS, < TUV = 70o and < RLV = 30o. Find the value of x

A.

150o

B.

110o

C.

100o

D.

95o

Correct answer is C

L + 30o - 180o(Sum of < s on straight line)

L = 180o - 30o = 150o

L = q = 150o(opposite < s are equal)

y = b = 30o(alt. < s)

b + c = 180o(sum of < s on str. line)

30o + c 180

c = 180 - 30

c = 150o

b = a = 30o (opp < s are equal)

c = d = 150o (opp < s are equal)

a + k + 70o = 180o (sum of < s on \(\bigtriangleup\))

30o + k + 70o = 180

k + 100o = 180

k = 180 - 100

k = 80o

x + 80o = 180(sum of < s on straight line)

x = 180o - 80o

x = 100o