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54. Name an angle complementary to ZBOC.A.ZEOBB. ZEODC. ZAOBD. ZDOC

54. Name an angle complementary to ZBOC.A.ZEOBB. ZEODC. ZAOBD. ZDOC-example-1
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User Boffin
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1 Answer

5 votes

We want to get the angle complementary to angle BOC i.e the angle that when added to BOC gives 90 degrees.

We can see that the angles
\begin{gathered} \angle AOB+\angle DOB=180 \\ \text{but }\angle AOB=90^(\circ) \\ so,\angle DOB=90^(\circ) \\ \text{but}\angle DOB=\angle BOC+\angle DOC \\ \text{Therefore, }\angle BOC+\angle DOC=90^(\circ) \end{gathered}Therefore, the answer is

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User Lomine
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