If a triangle has 22 angle and and a 46 angel, what can be established about the third angle measure and the type of triangle?
The sum of the interior angles of a triangle is always 180 degrees. If the triangle has angles measuring 22 degrees and 46 degrees, the third angle can be found by subtracting the sum of the other two angles from 180 degrees:
180 - (22 + 46) = 112 degrees
Therefore, the third angle measures 112 degrees.
Based on the measures of the angles, the triangle is an obtuse triangle since one of its angles (the one measuring 112 degrees) is greater than 90 degrees.