If AB = 13, BC = 9, and CA = 17, list the angles of

in order from smallest to largest.

Solving for the angles, we need to apply and use Law of Cosines:

Solving for ∠AB, we have

cos ∠AB = (BC² + CA² - AB²) / 2*BC*CA

cos∠AB = (9²+17² - 13²) / 2*17*9

∠AB = 48.94°

Solving for ∠BC, we have

cos ∠BC = (AB² + CA² - BC²) / 2*AB*CA

cos∠AB = (13²+17² - 9²) / 2*17*13

∠BC = 31.47°

Solving for angle CA, we have:

∠CA = 180° - 31.47° - 48.94°

∠CA = 99.49°

The smallest angle is 31.47°.