are the triangles below acute, obtuse, or right?\ntriangle a\ntriangle b\ntriangle c\ntriangle…

Explanation:

Step1: Calculate third angle for Triangle A

$180^\circ - 64^\circ - 60^\circ = 56^\circ$
All angles ($64^\circ, 60^\circ, 56^\circ$) < $90^\circ$: Acute.

Step2: Calculate third angle for Triangle B

$180^\circ - 75^\circ - 35^\circ = 70^\circ$
All angles ($75^\circ, 35^\circ, 70^\circ$) < $90^\circ$: Acute.

Step3: Identify Triangle C angle

Right angle symbol present: Right.

Step4: Identify Triangle D angle

$110^\circ > 90^\circ$: Obtuse.

Answer:

Triangle A: Acute, Triangle B: Acute, Triangle C: Right, Triangle D: Obtuse