Answer:
m∠2 = 49°
Step-by-step explanation:
In the given diagram of ∠KJM which comprises of two adjacent angles:
∠KJL = m∠1 = 98°
∠LJM = m∠2 = ?
Since ∠KJL and ∠LJM share the same common side, [tex]\displaystyle\mathsf{\overline{JL}}[/tex], then it means that:
m∠KJL + m∠LJM = m∠KJM
m∠1 + m∠2 = m∠KJM
98° + m∠2 = 147°
Subtract 98° from both sides:
98° - 98° + m∠2 = 147° - 98°
m∠2 = 49°
Therefore, m∠2 = 49°.
