Question

PLEASE HELP! Use the figure to find the specified angle measure. In the figure, p || q.Suppose m<6=76 degrees. Find m<3.

Answer 1

hello

from the question given, we can easily find the value of angle 5

`\begin{gathered} \measuredangle5=180-\measuredangle6 \\ reason\colon\text{ angle on a straight line is equal to 180 degre}e \\ \measuredangle5=180-76 \\ \measuredangle5=104^0 \end{gathered}`

having found the value of angle 5, it is easily relatable to angle 3 because they are alternating angles to each other

`\begin{gathered} \measuredangle5=\measuredangle3 \\ \text{alternating angles are equal} \\ \measuredangle5=104^0 \\ \measuredangle3=104^0 \end{gathered}`

from the calculations above, the value of angle 3 is equal to 104 degrees

it is an alternate interior angle theorem