Answer:
<a=138°
<b=42°
<c=138°
<d=138°
<e=42°
<f=42°
Explanation:
<a is supplementary with the 42° angle:
<a=180°-42°=138°
<b and the 42° are vertical angles, so:
<b=42°
<c and <a are also vertical angles so:
<c=<a=138°
<d and <a are corresponding angles, so:
<d=<a=138°
<e and <b are corresponding angles, so:
<e=<b=42°
<f and the 42° angle are corresponding angles, so:
<f=42°
<g and <c are corresponding angles, so:
<g=<c=138°