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°
- 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]