Respuesta :

Answer:

[tex]y=20\degree[/tex]

Step-by-step explanation:


The given triangle is isosceles. Therefore the base angles are equal.


This implies that,

[tex]5x=25\degree[/tex].


To find [tex]y[/tex] we add the interior add angles and equate to [tex]180/degree[/tex].


This implies,

[tex](3y+70)\degree +25\degree +5x\degree =180\degree[/tex]


We substitute to obtain,

[tex]\Rightarrow (3y+70)\degree +25\degree +25\degree =180\degree[/tex]


We evaluate to obtain,

[tex]\Rightarrow 3y+120\degree =180\degree[/tex]


[tex]\Rightarrow 3y=180\degree-120\degree [/tex]


[tex]\Rightarrow 3y=60\degree[/tex]


We divide through by 3 to get.

[tex]\Rightarrow y=20\degree[/tex]

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