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?
A:The third angle measure is 68°, and the triangle is an obtuse triangle.
B:The third angle measure is 128°, and the triangle is an obtuse triangle.
C:The third angle measure is 112°, and the triangle is an obtuse triangle.
D:The third angle measure is 112°, and the triangle is an acute triangle.
To find the measure of the third angle in a triangle, we can subtract the sum of the two given angles from 180°.
Given:
Angle 1 = 22°
Angle 2 = 46°
Sum of the two given angles = 22° + 46° = 68°
Third angle measure = 180° - 68° = 112°
The third angle measure is 112°, and the triangle is an acute triangle.
Therefore, the correct answer is D.