Respuesta :

Answer:

x = 155°

Step-by-step explanation:

The sum of the angles in any triangle = 180°

1. The triangle with the right angle and the 35° angle: We know the acute angles of a right angle sum = 90°.  So 35° + what angle = 90° ; the missing angle = 90° - 35° = 55°

You have a straight angle formed with the 60° + ?° + 55° that is equal to  180°.    60° + 55° + ? = 180; 115°+ ? = 180;  ? = 65°.

Now "x" is any exterior angle which tells you that it is equal to the two remote angles.  The two remote angles are 65° + 90° =  x° ; x = 155°

Ver imagen lor067ewp
  • The frontier angle of 35° inside the triangle =180-60=120°

Now

Sum of two Interiors =Exterior angles

[tex]\\ \tt\hookrightarrow 120+35=x[/tex]

[tex]\\ \tt\hookrightarrow x=155°[/tex]