D
5
Reason
1.
2.
Given: 21:23
Prove: 22 and 23 are supplementary
Statement
1. 21:23
2. mZ1 = m23
3. Z1 and 22 form a linear pair
4. 21 and 22 are supplementary
5. m21+m22 = 180°
6. mZ3+ m2 = 180°
7. 22 and 23 are supplementary
3
4.
5.
6.
7.
A. given
B. substitution property of equality
C. linear pair postulate
D. definition of a linear pair
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The fence around a quadrilateral-shaped pasture is 3a^2+15a+9 long. three sides of the fence have the following lengths: 5a, 10a-2, a^2-7. what is the length of the fourth side of the fence?
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