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EXAMPLE 1

ALGEBRA. Find the values of x and y. CD. AB =. Opposite sides of a are. 12. x + 4 =. x =. 8. or m A = m C. By Theorem 8.4, A C ,. ANSWER. In ABCD , x = 8 and y = 65. EXAMPLE 1. Use properties of parallelograms.

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EXAMPLE 1

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  1. ALGEBRA Find the values of xand y. CD AB= Opposite sides of a are . 12 x + 4= x = 8 or m A = m C. By Theorem 8.4, A C, ANSWER InABCD, x = 8andy = 65. EXAMPLE 1 Use properties of parallelograms ABCDis a parallelogram by the definition of a parallelogram. Use Theorem 8.3 to find the value of x. Substitute x + 4 for ABand 12 for CD. Subtract 4 from each side. So, y ° = 65°.

  2. Find FGand m G. Find the values of xand y. 1. 2. ANSWER ANSWER 8, 60° 25, 15 for Example 1 GUIDED PRACTICE

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