Question

The triangles are similar. What are the measurements of the angles?

Answer 1

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:

`3x+6x+90=180`

Solving for 'x':

`9x+90=180\Rightarrow9x=90\Rightarrow x=(90)/(9)=10`

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

They are 60º and 30º.