Respuesta :

Since the triangles are similar, they have same angles. The sum of the angles of the inside of a triangle is 180º.

With those two informations, we can write the following equation:

[tex]3x+6x+90=180[/tex]

Solving for 'x':

[tex]9x+90=180\Rightarrow9x=90\Rightarrow x=\frac{90}{9}=10[/tex]

With the value of x, we have the value of the angles.

They are 60º and 30º.

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