Question

in the figure below, ( mangle jkl = 142^{circ} ) and ( mangle 1 = 67^{circ} ). find ( mangle 2 ).

Explanation:

Step1: Identify angle relationship

From the figure, \( \angle JKL = \angle 1 + \angle 2 \). So, \( \angle 2 = \angle JKL - \angle 1 \).

Step2: Substitute values

Given \( m\angle JKL = 142^\circ \) and \( m\angle 1 = 67^\circ \), substitute into the formula: \( m\angle 2 = 142^\circ - 67^\circ \).

Step3: Calculate the result

\( 142 - 67 = 75 \), so \( m\angle 2 = 75^\circ \).

Answer:

\( 75 \)