Which of the following statements must be true about this diagram? Check all that apply. A. m<3 is greater than m<2 B. m<4 is greater than m<1C. m<4 is greater than m<2D. The degree measure of <3 equals the sum of the degree measures of <1 and <2. E. The degree measure of <4 equals the sum of the degree measures of <1 and <2. F. the degree measure of <4 equals the sum of the degree measures of <2 and <3.

 Answer: options B, C, E will be correct according to the given diagram. Explanation: Since, according  to the Exterior Angle theorem, In a triangle the sum of any two adjacent interior angles is equal to the exterior angle of the triangle.And, here [tex]\angle 4[/tex] is the exterior angle of the triangle, while [tex]\angle 1[/tex], [tex]\angle 2[/tex], and [tex]\angle 3[/tex] are the interior angles of the triangle. Thus, according to the theorem, [tex]\angle 1+ \angle2=\angle 4[/tex].⇒[tex]\angle4 > \angle1[/tex]and [tex]\angle4 > \angle2[/tex]Therefore, options B, C, E are correct.