1.

Two straight lines AB and CD cut each other at O. if angleBOD = 65, then find angleBOC

Answer»

Step-by-step explanation:

BOC=117°

Step-by-step explanation:

Given:

Two straight lines AB and CD cut each other at O.

\ANGLE BOD = 63\degree∠BOD=63°

\angle BOD + \angle BOC = 180\degree∠BOD+∠BOC=180°

\pink { ( Linear \:pair )}(Linearpair)

\IMPLIES 63\degree + \angle BOC = 180\degree⟹63°+∠BOC=180°

\begin{gathered} \implies \angle BOC = 180\degree - 63\degree \\= 117\degree \end{gathered}

⟹∠BOC=180°−63°

=117°

Therefore.,

\red {\angle BOC} \GREEN {= 117\degree}∠BOC=117°



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