Thread: paralleograms

[FONT='Arial','sans-serif']if some one could help me with this work I would

Deeply appreciate it! If I pass all of my classes this year then I can [FONT='Calibri','sans-serif']graduate my 11th grade year, but this work is in over my head if any one give any help I thank you![/FONT]
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[FONT='Arial','sans-serif']Lesson 26 Assignment[/FONT]

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[FONT='Arial','sans-serif']1. Use the following information to answer this question:





The correct answer is:
A. 80°B. 135°C. 70°D. 55°2. Use the following information to answer this question:





The correct answer is:
A. 110°B. 100°C. 45°D. 125°3. Use the following information to answer this question:





The correct answer is:
A. 125°B. 80°C. 100°D. 55°4. Use the following information to answer this question:





The correct answer is:

A. 55°B. 125°C. 80°D. 100°5. Use the following information to answer this question:



AE = ?
A. 15B. 2C. 7D. 66. Use the following information to answer this question:



AC = ?
A. 4B. 14C. 12D. 307. Given parallelogram ABCD A. 6B. 12C. D. 8. Given parallelogram ABCD A. B. C. D. 9. Given parallelogram STUV A. B. C. D. 10. Given parallelogram BDEC A. B. C. D. 11. Given parallelogram STUV A. B. C. D. 12. Given parallelogram BDEC A. B. C. D. 13. Given parallelogram BDEC A. B. C. D. [/FONT]

Hello, jeilynn,

I assume that all the quadrilaterals are parallelograms. (< this sign means angle)

1. <B + <C = 180° Therefore
8x-25 + 7x + 55 = 180
15x + 30 =180
15x = 150
x = 10
thus <B = 8*10 - 25 = 55°

<C = 7x + 55 = 7*10 + 55 = 125°

In a parallelogram <A = <C thus <A = 125°

In a parallelogram <B = <D thus <D = 55°

In a parallelogram the point E divides both diagonals into two equal parts. Therefore
AE = EC
2x + 3 = 5x - 3
-3x = -6
x = 2

AE = 2*2+3 = 7

AC = 2*AE = 14 or

AC = AE + EC = 7 + 5*2 - 3 = 7 + 10 - 3 = 14