If a triangle has a 22 degrees angle and a 46 degrees angle, what can be established about the third angle measure and the type of triangle?
A. The third angle measure is 128 degrees, and the triangle is an obtuse triangle.
B. The third angle measure is 112 degrees, and the triangle is an obtuse triangle.
C. The third angle measure is 112 degrees, and the triangle is an acute triangle.
D. The third angle measure is 68 degrees, and the triangle is an obtuse triangle.
B. The third angle measure is 112 degrees, and the triangle is an obtuse triangle.
To find the third angle measure, subtract the sum of the other two angles (22 + 46 = 68) from 180 degrees (180 - 68 = 112). Since the third angle measure is greater than 90 degrees (obtuse), the triangle is an obtuse triangle.