Respuesta :

the answer to this is x=4 y=12 if you need further explanation let me know

Answer:

From the image we have,

[tex](11x-6)^{\circ}[/tex] and [tex](13y-14)^{\circ}[/tex] are linear pairs.

Linear Pair Theorem: If two angles form a linear pair, then they are supplementary.

therefore, by above theorem we have,

[tex]11x-6+13y-14=180^{\circ}[/tex]

simplify:

[tex]11x+13y=200^{\circ}[/tex]

Since, we can seen from the image we have, [tex]15x-8=90^{\circ}[/tex]

[tex]15x=98^{\circ}[/tex]

therefore, [tex]x=6.534^{\circ}[/tex]

Now, putting the value of x in equation [tex]11x+13y=200^{\circ}[/tex] to find for y:

[tex]11\cdot 6.534+13y=200^{\circ}[/tex]

[tex]71.8667+13y=200^{\circ}[/tex]

[tex]13y=200-71.867=128.134^{\circ}[/tex]

Therefore the values of [tex]x=6.534^{\circ}[/tex] and  [tex]y=128.134^{\circ}[/tex]