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Anestetic [448]
2 years ago
15

20 POINTS!!!

Mathematics
1 answer:
Over [174]2 years ago
6 0

Answer:

you should put 20 points if you answer the question+ brainliest. if you dont people will think its free for example. I have a question you can answer to get your points back, just say something random. Sorry I couldnt help you but thanks for the points.

Step-by-step explanation:

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Given: AB ≅ BC , m∠MOC = 135° OM − angle bisector of ∠AOB Prove: ∠ABO ≅ ∠CBO
Gennadij [26K]

Answer:

See explanation

Step-by-step explanation:

1. Angles AOM and MOC are supplementry angles. If m∠MOC = 135°, then

m∠AOM = 180° - 135° = 45°

2. OM − angle bisector of ∠AOB, then

m∠AOM = m∠MOB = 45°

3. Now

m∠BOC = m∠MOC - m∠MOB

m∠BOC = 135° - 45° = 90°

4. Since m∠BOC = 90°, BO is perpendicular to AC.

5. Consider isosceles triangle ABC (because AB ≅ BC). BO is the height drawn to the base, so it is an angle B bisector too, thus

∠ABO ≅ ∠CBO

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