Question

find the value or measure. Assume all lines that appear to the tangent are tangent. mJH=

Answer 1

From the arc-angle relationship

By comparing both pictures, we have that

$55=\frac{76+mJH}{2}$

now, we must isolate MJH, hence we have

$\begin{gathered} 76+\text{mJH}=2\cdot55 \\ 76+\text{mJH}=110 \end{gathered}$

and we must move 76 to the right hand side as -76, this gives

$\begin{gathered} \text{mJH}=110-76 \\ \end{gathered}$

Finally, mJH is 34.