# Two angles

The triangles ABC and A'B'C 'are similar. In the ABC triangle, the two angles are 25° and 65°. Explain why in the triangle A'B'C 'is the sum of two angles of 90 degrees.

Result

x =  90 °

#### Solution:

$A=25 \ ^\circ \ \\ B=65 \ ^\circ \ \\ C=180 - (A+B)=180 - (25+65)=90 \ ^\circ \ \\ \ \\ x=A+B=25+65=90=90 ^\circ$

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