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: C
Explanation
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