Question

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 112°, and the triangle is an acute triangle.
C. The third angle measure is 128°, and the triangle is an obtuse triangle.
D. The third angle measure is 112°, and the triangle is an obtuse triangle.

Answer 1

Sum of angles = 180°. Third angle = 180° − (22° + 46°) = 180° − 68° = 112°. Since 112° > 90°, the triangle is obtuse. Answer: D.