Question

Find the measure of 46.97° 83°44/434 6 = [?]<<46/4548 47

Answer 1

Notice that angles 4 and 5 are alternate interior angles, then:

`\measuredangle5=\measuredangle4`

On the other hand, angle 4 and the angle that measures 83 degrees are opposite angles, then:

`\measuredangle4=83^(\circ)`

Therefore:

`\measuredangle5=83^(\circ)`

Angles 5 and 6 are supplementary then

`\begin{gathered} \measuredangle5+\measuredangle6=180^(\circ) \\ \measuredangle6=180^(\circ)-\measuredangle5=180^(\circ)-83^(\circ)=97^(\circ) \end{gathered}`

Answer: 97 degrees.