Respuesta :
Answer:
i. 30 degrees
ii. 30 degrees
Step-by-step explanation:
The exterior angles of a triangle always add up to 360 degrees. Using this, you can set up the following equation.
3y+4y+5y=360
y=30 degrees
The smallest interior angle corresponds to the largest exterior angle. 5y=5*30= 150. Subtracting this from 180 you get 30 degrees, or the smallest interior angle. Hope this helps!
Answer:
i) y = 30°
ii) 30°
Step-by-step explanation:
Total exterior angle = 360
3y° + 4y° + 5y° = 360
12y° = 360
y° = 30°
Interior angle = 180 - exterior angle
Interior angle will be the smallest when the exterior angle is the greatest, which is:
5y = 5(30) = 150°
Smallest interior angle = 180 - 150
= 30°