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Statements
1. m/ABC
-
90°
2. m/ABD
- 25°
3. m/ABD + m/CBD
4. 25°+m/CBD 90°
5. mZCBD
65°
Julie's Proof
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Reasons
1. given
2. given
90° 3. angle addition postulate
4. substitution property of equality
5. subtraction property of equality
Statements
Samuel's Proof
Reasons
1. m/CBD 65°
1. assumption
2. mZABC
1
90°
3. m/ABD+ m/CBD
2. given
90° 3. angle addition postulate
4. substitution property of equality
5. subtraction property of equality
4. m/ABD + 65°
90°
5. m/ABD
25°
Julie used
because
because
an indirect proof
reserved.
a direct proof


Sagot :

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