Answer:
No 1:-
Here according to diagram
In triangle DOG
[tex]\qquad\quad {:}\longrightarrow\tt \angle D=\angle O=63°[/tex]
[tex]{\boxed{\tt Sum\:of\:angles=180°}}[/tex]
[tex]\qquad\quad {:}\longrightarrow\tt 63+63+x=180 [/tex]
[tex]\qquad\quad {:}\longrightarrow\tt 126+x=180 [/tex]
[tex]\qquad\quad {:}\longrightarrow\tt x=180-126 [/tex]
[tex]\qquad\quad {:}\longrightarrow\tt x=54[/tex]
[tex]\therefore\angle {G}=54°.[/tex]
No 2 :-
Again apply sum theory
[tex]\qquad\quad {:}\longrightarrow\tt 40°+x+x=180 [/tex]
[tex]\qquad\quad {:}\longrightarrow\tt 2x+40=180 [/tex]
[tex]\qquad\quad {:}\longrightarrow\tt 2x=180-40 [/tex]
[tex]\qquad\quad {:}\longrightarrow\tt 2x=140 [/tex]
[tex]\qquad\quad {:}\longrightarrow\tt x=\dfrac {140}{2}[/tex]
[tex]\qquad\quad {:}\longrightarrow\tt x=70 [/tex]
[tex]\therefore \tt x=70°.[/tex]
