Answer:
A. No
B. No
C. Yes
Step-by-step explanation:
A is no because the triangles do not follow the Triangle Inequality Theorem, nor do the angles add up to 180°. The Triangle Inequality Theorem states that the sum of two angles must be larger than the third side.
100 + 40 + 20 = 160° (DO NOT ADD UP TO 180°)
40 + 20 = 60 (60 IS NOT GREATER THAN THE THIRD SIDE, WHICH IS 100).
B is no because the triangle does not follow the Triangle Inequality Theorem, nor do the angles add up to 180°.
20 + 80 + 100 = 200° (DOES NOT ADD UP TO 180°)
20 + 80 = 100 (100° IS NOT GREATER THAN THE THIRD SIDE, WHICH IS 100.)
C is yes because the triangle follows the Triangle Inequality Theorem and the angles add up to 180°.
50 + 60 + 70 = 180°.
60 + 70 = 130 (130 IS GREATER THAN 50).
70 + 50 = 120 (120 IS GREATER THAN 60).
