In the diagram, (barOX) bisects o, calculate the value of

Correct Answer: Option D

Explanation

In (Delta) XYZ, 2m + 2n + 68^o = 180^o
2(m + n) + 68^o = 180^o…(1)
in (Delta) XOZ, m + n + q = 180^o …(2)
(m + n) = 180^o – q…(3)
substituting 180^o – q for (m + n) in (1) gives
2(180^o – q) + 68^o = 180^o
360^o – 2q = 180^o – 68^o
360^o – 2q = 112^o
360^o – 112^o = 2q
248^o = 2q
q = (frac{248^o}{2})
= 124^o
hence, o