Sammyandgissel Sammyandgissel

21-09-2022
Mathematics

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12. Given: BD 1 BC; LABD = ZDBE
Prove: LABD and ZEBC are complementary
Statements
1. BD 1 BC
2. ZDBC is a right angle
3. m/DBC = 90°
4. m/DBE + m/EBC = m/DBC
5. m/DBE + m/EBC = 90°
6. LABD ZDBE
7. m/ABD = m/DBE
8. m/ABD + m/EBC = 90°
9. LABD and ZEBC are complementary
1.
2.
3.
4.
5.
6.
7.
8.
9.
A
Reasons
B
E
C

12 Given BD 1 BC LABD ZDBE Prove LABD and ZEBC are complementary Statements 1 BD 1 BC 2 ZDBC is a right angle 3 mDBC 90 4 mDBE mEBC mDBC 5 mDBE mEBC 90 6 LABD Z class=

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