Question

in the given figure , two straight lines AB and CD intersect at O. If <BOC =104 ° find the measure of .
<AOC ​

Answer 1

Answer:

angle AOC = 76°

Step-by-step explanation:

angle BOC = 104°

line AB and line CD are intersecting each other ( given)

<DOA =~ (congruent) <BOC ( vertically opposite angles )

<DOA = < BOC

<DOA = 104°

<AOC + <DOA = 180° ( linear pair of angles )

<AOC + 104° = 180°

<AOC = 180 - 104

<AOC = 76°