If two angles of a triangle are 30 and 60 degrees, what is the measure of the third angle?
Finding the Measure of the Third Angle in a Triangle
When you have a triangle with two angles of 30 and 60 degrees, to find the measure of the third angle, you simply add the measures of the two known angles and subtract the total from 180 degrees.
So, the measure of the third angle is calculated as follows:
[ 180 - (30 + 60) = 180 - 90 = 90 ]
Therefore, the measure of the third angle is 90 degrees. In general, the angles in any triangle always add up to 180 degrees. This concept is fundamental in understanding the properties of triangles and is essential for mastering geometry.