Question

Calculating Angle Measures

In the diagram, Which statements about the diagram are true? Check
all that apply.

Answer 1

Options (3), (4), and (5).

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).
`\overrightarrow{KQ}` is a angle bisector

Not True.

Option (2). ∠LKQ is bisected.

Not True.

Option (3). m∠JKL = 45°

Since
`\overrightarrow{KL}` is an angle bisector of angle JKP which is equal to 90°.

True.

Option (4). m∠MKQ + m∠PKQ = m∠PKM

True.

Option (5).
`\overrightarrow{PK}` is a angle bisector.

Since
`\overrightarrow{PK}` is an angle bisector of straight angle JKM.

True.

Option (6). ∠JKL ≅ ∠QKM

Not True.

Therefore, options (3), (4) and (5) are correct.