Question

find the measure of the missing angles.
answer attempt 1 out of 2
g = \boxed{\space}^\circ
k = \boxed{\space}^\circ
h = \boxed{\space}^\circ
m = \boxed{\space}^\circ

Explanation:

Step1: Find \( h \)

\( h \) and \( 127^\circ \) are supplementary (form a linear pair), so \( h + 127^\circ = 180^\circ \). Thus, \( h = 180^\circ - 127^\circ = 53^\circ \).

Step2: Find \( g \)

\( g \) and \( 127^\circ \) are vertical angles, so \( g = 127^\circ \).

Step3: Find \( k \)

\( k \) and \( 98^\circ \) are supplementary (form a linear pair), so \( k + 98^\circ = 180^\circ \). Thus, \( k = 180^\circ - 98^\circ = 82^\circ \).

Step4: Find \( m \)

\( m \) and \( 98^\circ \) are vertical angles, so \( m = 98^\circ \).

Answer:

\( g = 127^\circ \), \( h = 53^\circ \), \( k = 82^\circ \), \( m = 98^\circ \)