If a triangle has a twenty two degree angle and a forty six degree angle, what can be established about the third angle measure in the type of triangle

1 answer

To find the measure of the third angle in a triangle, we can subtract the sum of the known angles from 180 degrees. Therefore, the third angle can be found by subtracting the sum of the given angles (22 degrees + 46 degrees) from 180 degrees:

Third angle = 180 degrees - (22 degrees + 46 degrees)
Third angle = 180 degrees - 68 degrees
Third angle = 112 degrees

Therefore, the measure of the third angle in the triangle is 112 degrees.