Question

(b) given: ( mangle ljm = 145^circ ) and ( mangle kjm = 48^circ ). find: ( mangle ljk )

Explanation:

Step1: Identify Angle Relationship

We know that \( m\angle LJM = m\angle LJK + m\angle KJM \) (angle addition postulate).

Step2: Solve for \( m\angle LJK \)

Rearrange the formula: \( m\angle LJK = m\angle LJM - m\angle KJM \).
Substitute the given values: \( m\angle LJM = 145^\circ \) and \( m\angle KJM = 48^\circ \).
So, \( m\angle LJK = 145^\circ - 48^\circ \).
Calculate the result: \( 145 - 48 = 97 \), so \( m\angle LJK = 97^\circ \).

Answer:

\( 97^\circ \)