Answer:
C) ∠C < ∠A < ∠B
Step-by-step explanation:
We determine the answer by visualizing a flat board with two adjustable pins and a loop of string 9 units long. Pull the string taut with a pencil and drag it to form an isosceles triangle.
To establish ∠C < ∠A, set the pins 3.2 units apart and label them A and C, with the pencil point B. Initially AB = BC = 2.9 units, and ∠C = ∠A. Move the pencil leftward so AB decreases to 2.8 units and BC increases to 3.0 units. Clearly angle A increases and angle C decreases.
To establish ∠A < ∠B, set the pins 2.8 units apart and label them A and B, with the pencil point C. Initially AB = BC = 3.1, and ∠A = ∠B. Move the pencil rightward so BC decreases to 3.0 units and AC increases to 3.2 units. Clearly angle B increases and angle A decreases.
