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Algebra 2
Writing Assignment: Algebra of Quadrilaterals
Each problem is worth 5 Points
Total Points: 50
Solve each system of equations. Show your work.
1. Use the following image for problems (a) – (f). ABCD is a parallelogram. (a) Angle DAB measures (4 x − 2)° and angle BCD measures 47° . Find x. (b) Angle ADC measures (3 x )° and angle BCD measures (5 x )° . Find x. (c) Side AB = 3x – 5 and side DC = x + 10. Find x. (d) Side AD = 4x and side BC = 3x + 20. Find x. (e) Angle ABC measures 40° and angle BCD measures (2x − 1)° . Find x. (f) If DO = 3x – 2 and OB = 34, find x. 2. ABCD is a rectangle. Angle A measures (4 x − 15 )° . Find x. 3. ABCD is an isosceles trapezoid with base DC . If angle D measures 65° and angle C measures (5 x )° ,
find x. 4. ABCD is a kite. Answer (a) and (b) using the following image. (a) Side DA = 3x – 8 and side AB = 28. Find x. (b) Find the lengths of side DA, given the information in (a
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