Mathematics

Question

Which angle is an acute angle?
(Full question above)
Which angle is an acute angle? (Full question above)

1 Answer

  • Answer:

    ∠CPB is an acute angle.

    Step-by-step explanation:

    Firstly, lets go over what an acute angle is. An acute angle is any angle that is less than 90°.

    In the problem, we are told that ∠APE is a right angle. This means that it is 90°.

    As ∠APE and ∠BPD are vertical angles, they must have the same measure. This means that ∠BPD is also 90°

    As ∠BPD has the line PC in the middle of it, this angle could be split into ∠CPB and ∠CPD. These two angles must add up to be the same as ∠BPD, which is 90°. As these two angles must add to be 90° they must be less than 90°. This means that both ∠CPB and ∠CPD are acute angles.

    As ∠CPD is not one of the options for the question, ∠CPB is the only correct answer.

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