Question

Can you please help me out with a question

Answer 1

Given the secant above

`\begin{gathered} c\text{ =}(a-b)/(2) \\ From\text{ the question} \\ c=20^O \\ b\text{ = mLN} \\ a=96^o \end{gathered}`

Substituting all these into the equation yields

`\begin{gathered} 20\text{ =}\frac{96\text{ - mLN}}{2} \\ 40\text{ = 96 - mLN} \\ \text{mLN = 96 - 40} \\ mLN=56^o^{} \end{gathered}`

mLN = 56 Degrees, thus the correct answer is option H