+0  
 
0
2
2
avatar+442 

In a certain triangle, the exterior angles are in the ratio $3:5:10.$ What is the measure of the smallest interior angle of the triangle, in degrees?

 Jan 11, 2024
 #1
avatar+287 
+1

We know that the angles of the triangle are in the ratio 3:5:10, and we know that the sum of the three interior angles of a triangle is 180°, so we can do:

 

\(3x + 5x + 10x = 180°\)

 

\(18x=180°\)

 

\(x=10°\)

 

We can now multiply 3, the smallest interior angle, by x.

 

\(3\cdot 10\)

 

\(30°\)

 

Answer: 30°

 Jan 11, 2024

1 Online Users

avatar