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9. Solve for x.

10. Find mY. (6x – 23)°

X

( 9 x + 1) ° 88°

Y

( 4 x + 9) °

x

mY

=

Z

=

12. If WXY is equilateral and WZY is isosceles, find each missing measure.

11. Solve for x.

© Gina Wilson (All Things Algebra), 2012-2018

X

m1 = ________

1

(17x – 8)°

m2 = ________ m3 = ________

Z 138°

2

x

=

W

3

5

m4 = ________

4

Y

m5 = ________

13. If GHJ is an equilateral triangle, GH = 5x – 13, HJ = 11x – 61, and GJ = 7x – 29, find x and the measure of each side.

x = ________ GH = ________ HJ = ________ GJ = ________ 14. In RST, if S   T , RS = 9x – 13, ST = 10x – 3, and RT = 4x + 2, find x and the measure of each side.

x = ________

RS = ________ ST = ________ RT = ________ 15. In ACD, if AC  AD , mA = (3x – 4)°, mC = (5x + 1)°, and mD = (7x – 27)°, find x and the measure of each angle.

x = ________ mA = ________ mC = ________ mD = ________ © Gina Wilson (All Things Algebra®, LLC), 2014-2020

H

23. Given: GH , J is the midpoint of HK Prove: GHJ ≅ LKJ

J

L

G

K

© Gina Wilson (All Things Algebra), 2012-2018

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24. Given: BD  ED, CD  FD Prove: BC  EF

D F

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25. Given: R is the midpoint of QT, QS  TS Prove: RQS   RTS

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R

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6. © Gina Wilson (All Things Algebra®, LLC), 2014-2020...