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Lines ac and bd intersect at point o. lines ac and bd intersect at point o. if m∠aod = (5x − 4)° and m∠boc = (4x 5)°, what is m∠boc? 9° 10° 41° 82°



Answer :

MrRoyal

The measure of angle BOC is 41 degrees

How to determine the measure of BOC?

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:

https://brainly.com/question/14362353

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Complete question

Lines ac and bd intersect at point o. If <AOD = (5x - 4)° and BOC = (4x + 5)°, what is <BOC?

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