Question

Which statement is true about ∠BPD?

Answer 1

Answer:

c

Step-by-step explanation:

i just took the test and got it right

Answer 2

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.