E Algebra Review: For 14- 20: Given ABCD is a parallelogram. A 14. If m

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
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E
Algebra Review: For 14- 20: Given ABCD is a parallelogram.
A
В
14. If m<A = 2x - 20 and m<B = 2x, find x, and the measures of the angles.
14. X
m<A
m<B
m<C
m<D
15. If m<B = 7x and m<D = 5x + 30, find x, and the measures of the angles.
15. X
m<A
m<B
m<C
m<D
16. If AB = 4x + 7 and CD = 3x + 12, find x, AB and CD.
16. x
AB
CD
17. The diagonals of parallelogram ABCD intersect at E.
If AE = 5x – 3 and EC = 15 – x, find x, AE and AC.
17.x_
AE
АС.
18. Y-
18. The diagonals of parallelogram ABCD intersect at E.
If DE = 4y + 1 and EB = 5y – 1, find y, DE and DB.
%3D
DE
DB
Transcribed Image Text:E Algebra Review: For 14- 20: Given ABCD is a parallelogram. A В 14. If m<A = 2x - 20 and m<B = 2x, find x, and the measures of the angles. 14. X m<A m<B m<C m<D 15. If m<B = 7x and m<D = 5x + 30, find x, and the measures of the angles. 15. X m<A m<B m<C m<D 16. If AB = 4x + 7 and CD = 3x + 12, find x, AB and CD. 16. x AB CD 17. The diagonals of parallelogram ABCD intersect at E. If AE = 5x – 3 and EC = 15 – x, find x, AE and AC. 17.x_ AE АС. 18. Y- 18. The diagonals of parallelogram ABCD intersect at E. If DE = 4y + 1 and EB = 5y – 1, find y, DE and DB. %3D DE DB
Expert Solution
Step 1: Given,

ABCD is a parallelogram. If mB=7x and mD=5x+30, then we have to find x, and measures of all angles.

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