128,186 views
7 votes
7 votes
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
User Bob
by
2.7k points

1 Answer

21 votes
21 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

User Jim Archer
by
2.9k points