Find the values of X and Y
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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]