Question

Find each value or measure. Assume that all segments that appear to be tangentare tangent. Find mHJ.

Answer 1

Given secant angles

`\begin{gathered} m\text{GK}=\text{ 96} \\ \text{mHJ =?} \\ <\text{HIJ}=29^0 \end{gathered}`

To find m HJ

`<\text{HIJ}=(1)/(2)(\text{mGK}-\text{mHJ)}`

Substitute for
`\begin{gathered} 29^0=(1)/(2)(96^0-mHJ) \\ 29^0*2=96^0-\text{mHJ} \\ 58^0=96^0-\text{mHJ} \\ \text{mHJ}=96^0-58^0 \\ \text{mHJ}=38^0 \end{gathered}`Hence, the mHJ is 38 degrees