Answer:
9 units
Step-by-step explanation:
Given



Required
Determine the length of the longest segment
To do this, we use:

So, we have:



Take positive square root

<em>Hence, the length of the longest segment is 9 units</em>
M∠NQS = m∠BQS - m∠BQN = 78 - 48 = 30°
200+50+4 I think is the answer