Which is the best approximation for the measure of angle ABC? 27.7 ° 31.7 ° 58.3 ° 62.3 °

Answer:58.3°Step-by-step explanation:Missing Information:In this question the diagram is missing Following are the attachment of diagram of the given question.As we seen that the vertex c is making the right angle i,e 90°  also there is an acute angle the Hypotenuse: 20 cm and the perpendicular is 10.5 cm Now we have find the best approximation of the angle ABC used the cosx  trigonometric function.[tex]cos\ x\ =\ \frac{perpendicular}{Hypotenuse} \\[/tex]Putting the value of perpendicular and hypotenuse in the previous formula we get [tex]cos\ x\ =\ \frac{10.5\ cm}{20\ cm} \\[/tex][tex]x\ =cos^{-1}\ 0.525\\x \ = \ 58.33[/tex]