If a triangle has angles of 30 and 60 degrees, what is the third angle?

To determine the third angle in a triangle when the other two angles are known, you can use the property that the sum of all angles in a triangle is always 180 degrees.

In this case, you have two angles: 30 degrees and 60 degrees. To find the third angle, you add the two known angles together:

30 degrees + 60 degrees = 90 degrees.

Now, subtract this sum from 180 degrees to find the third angle:

180 degrees - 90 degrees = 90 degrees.

Therefore, the third angle measures 90 degrees, which fits the property of triangles, confirming that your understanding is that this value is derived through simple arithmetic based on the fundamental rule governing triangles.