Applying the definitions ofequilateralandisosceles triangles, the angle measures are:m∠1 = 43°; m∠2 = 17°; m∠3 = 120°; m∠4 = m∠5 = m∠6 = 60°; m∠7 = 17°; m∠8 = 120°; m∠9 = 43°;What is an Equilateral Triangle and an Isosceles Triangle?Anequilateral trianglehas equal lengths and equal angles that each measure 60 degrees.Anisosceles trianglehas two congruent sides and two congruent base angles that have the same measure.m∠1 = m∠9 [base angles ofisosceles trianglesare equal]Substitute4x + 3 = 9x - 47Solve for x4x - 9x = -3 - 47-5x = -50x = 10Plug in the value of x to find the angle measures 1 and 9:m∠1 = 4x + 3 = 4(10) + 3m∠1 = 43°m∠9 = 9x - 47 = 9(10) - 47m∠9 = 43°m∠4 = m∠5 = m∠6 = 60° [angles of anisosceles triangleare equal to 60 degrees].m∠3 = 180 - m∠4 [linear pair]m∠3 = 180 - 60m∠3 = 120°m∠8 = 180 - m∠6 [linear pair]m∠8 = 180 - 60m∠8 = 120°m∠2 = 180 - m∠1 - m∠3 [sum of triangle]m∠2 = 180 - 43 - 120m∠2 = 17°m∠7 = 180 - m∠8 - m∠9 [sum of triangle]m∠7 = 180 - 120 - 43m∠7 = 17°Learn more aboutequilateral triangleson:brainly.com/question/15294703#SPJ1...

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