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1 year ago

If m∠AOD = (5x − 4)° and m∠BOC = (4x + 5)°, what is m∠BOC?

Mathematics

1 answer:

OverLord2011 [107]1 year ago

7 0

The value of m<BOC if both angles are vertically opposite is 41 degrees

<h3>Vertically opposite angles</h3>

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; brainly.com/question/14362353

#SPJ1

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