Each set of numbers below represents the measures of three angles. Which set represent angle measures that could be found in a triangle? A(30o, 40o, 30o) B(42o, 18o, 130o) C(10o, 15o, 100o) D(40o, 5o, 40o) E (60o, 45o, 75o) F (20o, 40o, 50o)

Answer:Option E - [tex](60^\circ, 45^\circ, 75^\circ)[/tex]Step-by-step explanation:Given : Each set of numbers below represents the measures of three angles. To find : Which set represent angle measures that could be found in a triangle?Solution : We know that, Sum of all three angles of triangle is 180°.So whose sum is 180° that pair form a triangle.A) [tex](30^\circ, 40^\circ, 30^\circ)[/tex]Sum of angles,[tex]30^\circ+40^\circ+30^\circ=100^\circ[/tex]No, this set is not a triangle.B) [tex](42^\circ, 18^\circ, 130^\circ)[/tex]Sum of angles,[tex]42^\circ+18^\circ+130^\circ=190^\circ[/tex]No, this set is not a triangle.C) [tex](10^\circ, 15^\circ, 100^\circ)[/tex]Sum of angles,[tex]10^\circ+15^\circ+100^\circ=125^\circ[/tex]No, this set is not a triangle.D) [tex](40^\circ, 5^\circ, 40^\circ)[/tex]Sum of angles,[tex]40^\circ+5^\circ+40^\circ=85^\circ[/tex]No, this set is not a triangle.E) [tex](60^\circ, 45^\circ, 75^\circ)[/tex]Sum of angles,[tex]60^\circ+45^\circ+75^\circ=180^\circ[/tex]Yes, this set is a triangle.F) [tex](20^\circ, 40^\circ, 50^\circ)[/tex]Sum of angles,[tex]20^\circ+40^\circ+50^\circ=110^\circ[/tex]No, this set is not a triangle.Therefore, option E -  [tex](60^\circ, 45^\circ, 75^\circ)[/tex] set represent angle measures that could be found in a triangle.