Math 009 Quiz 4 Page 2 1) Margaret has a triangular garden bed in her back yard.

Question

Math 009 Quiz 4 Page 2 1) Margaret has a triangular garden bed in her back yard. The measure of the largest angle is ly more than four times the measure of the smallest, and the measure of the middle angle is 45 more than the measure of the smallest angle. Find the measures of the three angles. Start your work by defining the unknown quantities in terms of a variable. Show all work and write a complete answer, including units

Explanation / Answer

Dear Student Thank you for using Chegg !! Given a triangulr garden Let the smallest ange of the triangular garden be x degree Therefore the largest angle of the triangle = 4x + 15 degree as per question statement Middle angle = x + 45 degree Now we know that sum of all the angles of the triangle is 180 degree => x + 4x + 15 + x + 45 = 180 6x + 60 = 180 6x = 120 x = 20 Smallest Angle = 20 Degree Middle Angle = 20 + 45 65 degree Largest Angle = 4x + 15 = 95 Solution

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