Question

PLEASE HELP ME QUICK

Answer 1

Answer:

• m∠ABP  is 32°,
• m∠ABC is 64°.

Step-by-step explanation:

According to the construction we have:

• BD = BE
• PD = PE
• BP - is common side of triangles BPD and BPE

It gives us:

• ΔPBD ≅ ΔPBE

Then, corresponding angles of congruent triangles are congruent:

• ∠DBP ≅ ∠EBP

So,

• ∠ABP ≅ ∠CBP ⇒ m∠ABP = 32°

Then,

• m∠ABC = m∠ABP + m∠CBP = 32° + 32° = 64°