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## Chapter 8 Test Review

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**Chapter 8 Test Review**Quadrilaterals**The sum of the measures of the interior angles of a convex**regular polygon is 1080°. Classify the polygon by the number of sides. Octagon (8 sides)**What is the measure of each interior angle of a regular**octagon? 1080 8 = 135°**120°**97° x° 130° 150° Find the value of x. x + 120 + 97 + 130 + 150 + 90 = (6-4)(180) x = 133**5x°**8x° 5x° Find the value of x. 8x + 5x + 5x = 360 x = 20**10**8 m n - 3 Find the value of m and n in the parallelogram. n – 3 = 8 n = 11 m = 10**x + 9**2x + 4 What value of x makes the quadrilateral a parallelogram? 2x + 4 = x + 9 x = 5**x°**y° 21° Find the values of x and y. x = 69 y = 21**3x + 4**4y 6y - 10 4x - 5 Find the values of x and y. 3x + 4 = 4x – 5 x = 9 4y = 6y – 10 y = 5**3x + 2**5x - 4 What value of x makes the quadrilateral a parallelogram? 3x + 2 = 5x – 4 x = 3**What is the most specific name for the polygon?**Parallelogram**125°**2x° 160° 110° x° 112° 147° Find the value of x. x + 160 + 2x + 125 + 110 + 112 + 147 = (7-2)(180) x = 82**14**11 d + 4 c + 5 Find the values of c and d in the parallelogram. c + 5 = 11 c = 6 d + 4 = 14 d = 10**18**(b + 16)° 103° a - 10 Find the values of a and b in the parallelogram. a -10 = 18 a = 28 b + 16 = 103 b = 87**In a regular nonagon, the exterior angles are all congruent.**What is the measure of one of the exterior angles? 9x = 360 x = 40°**B**A 20° C D ABCD is a kite.Find mB and mD. 90 + 20 + x + x = 360 mB = mD = 125°**What is the most specific name for the polygon?**Quadrilateral RSTU has R, T, and U as right angles. RS = ST. Square**19 in**F G 16.5 in D E J H Find JH. (JH + 19) 2 = 16.5 JH = 14 in**E**D 110° 25° F G DEFG is a trapezoid.Find mG and mE. mG = 70° mE = 155°