Which statement is true about ∠BPD?

It is adjacent to ∠APC.
It is complementary to ∠BPC.
It is congruent to ∠APC.
It is linear to ∠APC.

Option C:

∠BPD congruent to ∠APC.

Solution:

To find which statement is true about ∠BPD.

Option A: It is adjacent to ∠APC.

∠BPD adjacent to ∠APD and ∠BPC.

So, it is not adjacent to ∠APC.

Hence it is false statement.

Option B: It is complementary to ∠BPC.

In a straight line adjacent angles are supplementary.

In straight line CD, ∠BPC + ∠BPD = 180°.

So, ∠BPD is supplementary to ∠BPC.

Hence it is false statement.

Option C: It is congruent to ∠APC.

∠APC and ∠BPD are vertically opposite angles.

If two lines are intersect, then vertically opposite angles are congruent.

So, ∠BPD ≅ ∠APC.

Hence it is true statement.

Option D: It is linear to ∠APC.

∠APC and ∠BPD are not adjacent angles.

So they did not form a linear pair.

Hence it is false statement.

Therefore, option C is the correct answer.

∠BPD congruent to ∠APC.

the cat is blue because the probability of extension towards the prefix of the diameter of the circle could only mathematically equal to the sum of the roots of the carrots from   your garden.

step-by-step explanation:

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