The measure of angle BOC is 41 degrees
The angles are given as:
<AOD = (5x - 4)° and BOC = (4x + 5)°
The angles are vertical angles.
So, we have:
(5x - 4)° = (4x + 5)°
Remove the bracket
5x- 4 = 4x + 5
Collect the like terms
5x - 4x = 4 +5
Evaluate the like terms
x = 9
Substitute x = 9 in BOC = (4x + 5)°
BOC = (4 * 9 + 5)°
Evaluate
BOC = 41°
Hence, the measure of angle BOC is 41 degrees
Read more about vertical angles at:
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<u>Complete question</u>
Lines ac and bd intersect at point o. If <AOD = (5x - 4)° and BOC = (4x + 5)°, what is <BOC?
Answer:
50888888888888888888+++++
60
Step-by-step explanation:
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