In the diagram, MQ//RS, o and o: Find the value of x

In the diagram, MQ//RS, o and o. Find the value of x

Correct Answer: Option C

Explanation

L + 30^o – 180^o(Sum of

L = 180^o – 30^o = 150^o
L = q = 150^o(opposite

y = b = 30^o(alt.

b + c = 180^o(sum of

30^o + c 180
c = 180 – 30
c = 150^o
b = a = 30^o (opp

c = d = 150^o (opp

a + k + 70^o = 180^o (sum of

30^o + k + 70^o = 180
k + 100^o = 180
k = 180 – 100
k = 80^o
x + 80^o = 180(sum of

x = 180^o – 80^o
x = 100^o