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  a) ADC

  b) ABC

  c) ACB

  d) CAD, DAB

  e) CDm, BDA

  f) ABD

Step-by-step explanation:

a) Any of the letters on lines going through point D could be used to name an angle with DC as one side. (Letters s and C would name an angle of measure zero, so might not be of interest.)

  ∠ADC has side DC

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b) Any angle name with B in the middle will have B as its vertex.

  ∠ABD is an angle with vertex B

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c) Ray CE is coincident with ray CD, so ...

  ∠ACE is another name for ∠ACD

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d) Adjacent angles share a side, typically between the two angles. A linear pair of angles will be adjacent angles.

  ∠BAD and ∠CAD are adjacent angles

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e) In order to properly name a pair of vertical angles, we need to be able to name two sets of opposite rays that share end points. Opposite rays emanate from points C and D, but no named points are seen outboard of those intersections. If we use 'm' as the name of a point on line m, then we can say a pair of vertical angles is ...

  CDm and BDA are two vertically opposite angles

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f) The supplement to EBD will be the other angle that makes a linear pair with angle EBD. It is defined using point A on the ray opposite ray BE.

  ∠ABD is the supplement of ∠EBD

answerthe vertex form

step-by-step explanation: