Question

find the measure of the missing angles.
answer attempt 1 out of 2
g = square^circ quad h = square^circ
k = square^circ quad m = square^circ

Explanation:

Step1: Find \( h \)

Angles on a straight line sum to \( 180^\circ \). So \( h + 118^\circ = 180^\circ \), then \( h = 180^\circ - 118^\circ = 62^\circ \).

Step2: Find \( g \)

\( g \) and \( 118^\circ \) are vertical angles (opposite angles formed by intersecting lines), so \( g = 118^\circ \).

Step3: Find \( m \)

Angles on a straight line sum to \( 180^\circ \). So \( m + 133^\circ = 180^\circ \), then \( m = 180^\circ - 133^\circ = 47^\circ \).

Step4: Find \( k \)

\( k \) and \( 133^\circ \) are vertical angles, so \( k = 133^\circ \).

Answer:

\( g = 118^\circ \), \( h = 62^\circ \), \( k = 133^\circ \), \( m = 47^\circ \)