Respuesta :

Answer:

[tex]x = 20\°[/tex]

Step-by-step explanation:

By definition we know that the sum of the internal angles of a triangle is always equal to 180 °

in this case we have a right triangle. We know that right triangles have an angle of 90 °.

So the sum of the three sides of this triangle must be equal to 180 °

So

[tex]2x + 10 + 2x + 90 = 180[/tex]

We solve the equation for the variable x.

[tex]4x +100 = 180\\4x = 180-100\\4x = 80[/tex]

[tex]x = 20\°[/tex]

Answer: x=20

Step-by-step explanation:

2x+10+2x+90=180

4x+100=180

4x=80

X=20