The value of m<BOC if both angles are vertically opposite is 41 degrees
Vertically opposite angles are angles that are equivalent to each other and meet at a point of intersection X
Given the following angles
m∠AOD = (5x − 4)° and
m∠BOC = (4x + 5)°,
If the angles are vertically opposite, hence;
5x - 4 = 4x + 5
Collect the like terms
5x - 4x = 5 + 4
x = 5 + 4
x = 9
Determine the measure of <BOC
m<BOC = 4x + 5
m<BOC = 4(9) + 5
m<BOC = 41 degrees
Hence the value of m<BOC if both angles are vertically opposite is 41 degrees
Learn more on vertical angles here; https://brainly.com/question/14362353
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