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PLEASE HELP I DONT UNDERSTAND!!!

PLEASE HELP I DONT UNDERSTAND!!!-example-1

1 Answer

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Answer:

  • ∠MBL and ∠PBQ
  • ∠OBN = 95°
  • Neither

Explanation:

This is essentially a vocabulary question. You need to know the meanings of ...

  • adjacent angles
  • linear pair
  • vertical angles
  • straight angle

and you need to know how angles are named.

__

Angles adjacent to MBP will share a side and a vertex. The shared side will be one of ray BM or ray BP. The shared vertex is B.

Adjacent angles to MBP are ...

angle MBL and angle PBQ

__

Angle OBN is not a vertical angle with any shown, nor is it part of a linear pair with any angles shown. However, if we assume that LR is a straight line through B, then angle LBR is a "straight angle" and has a measure of 180°.

The angle addition postulate tells us ...

∠NBL +∠OBN +∠OBR = 180°

30° +∠OBN +55° = 180°

∠OBN = 95° . . . . . . . . . . . . subtract 85° from both sides

__

No two of BM, BP, BR, BO form a straight line, so the given angles do not form a linear pair or vertical angles. (Neither)

User Abdulmuhaymin
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