List the angles in order from smallest to largest. a) ∠a < ∠b < ∠c b) ∠b < ∠a < ∠c c) ∠c < ∠a < ∠b d) ∠a < ∠c < ∠bsidesab=2.8bc=3ac=3.2

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.

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step-by-step explanation: