If a triangle has a 22° angle and a 46° angle, what can be established about the third angle measure and the type of triangle? (1 point)
A. The third angle measure is 112°, and the triangle is an obtuse triangle.
B. The third angle measure is 112°, and the triangle is an acute triangle.
C. The third angle measure is 68°, and the triangle is an obtuse triangle.
D. The third angle measure is 128°, and the triangle is an obtuse triangle.
To find the measure of the third angle, we can subtract the sum of the given angle measures (22° + 46° = 68°) from 180° (the total angle measure of a triangle). This gives us 180° - 68° = 112°. Therefore, the third angle measure is 112°.
Since the third angle measure is greater than 90° (a right angle), we can conclude that the triangle is an obtuse triangle.
So the correct answer is A. The third angle measure is 112°, and the triangle is an obtuse triangle.