Question

ANSWER THIS MATH QUESTION!!!! PLEASE!!! FOR 30 POINTS!!!!

Answer 1

∠A = 37° ; AB = 28

∠B = 90° ; BC = 21

∠C = 53° ; AC = 35

Step-by-step explanation:

Trigonometry ratios:

m∠B = 90°

⇒ the side opposite to 90° is AC and it is hypotenuse.

`\sf Cos \ C = (adjacent \ side \ of \ \angle C)/(hypotenus)\\\\Cos \ C = (21)/(35)\\\\Cos \ C = 0.6\\\\ C = arccos(0.6)\\\\C = 53.13\\\\\boxed{m\angle C = 53^\circ}`

m∠A + ∠B + ∠C = 180° {Angle sum property of triangle}

m∠A + 90° + 53° = 180

m∠A + 143 = 180

m∠A = 180 - 143

m∠A = 37°