Respuesta :

Part 1)

In this problem we know that

[tex]4y\°+112\°=180\°[/tex] ------> by supplementary angles

solve for y

[tex]4y\°=180\°-112\°[/tex]

[tex]y=68\°/4[/tex]

[tex]y=17\°[/tex]

Part 2)

In this problem we know that

[tex]7x+7=112\°[/tex] ------> by vertical angles

solve for x

[tex]7x=112\°-7\°[/tex]

[tex]x=105\°/7[/tex]

[tex]x=15\°[/tex]

therefore

the answer is the option A

[tex]x=15\°, y=17\°[/tex]