Answer:
Options (3), (4), and (5).
Step-by-step explanation:
From the figure attached,
∠JKM is a straight angle on a segment JKM.
PK is a perpendicular drawn on segment JKM at point K.
Option (1). [tex]\overrightarrow{KQ}[/tex] is a angle bisector
Not True.
Option (2). ∠LKQ is bisected.
Not True.
Option (3). m∠JKL = 45°
Since [tex]\overrightarrow{KL}[/tex] is an angle bisector of angle JKP which is equal to 90°.
True.
Option (4). m∠MKQ + m∠PKQ = m∠PKM
True.
Option (5). [tex]\overrightarrow{PK}[/tex] is a angle bisector.
Since [tex]\overrightarrow{PK}[/tex] is an angle bisector of straight angle JKM.
True.
Option (6). ∠JKL ≅ ∠QKM
Not True.
Therefore, options (3), (4) and (5) are correct.
