Question

4. ABCDE is a regular pentagon, AB, DC are produced to meet at P. Find angle BPC

Answer 1

AnSwEr♡~

Given,

ABCDE is a regular pentagon and AB,DCAB,DC are produced to meet at P as soon in figure.

We know,

The measure of the interior angle of a regular pentagon is 108 °

∴ From figure,

∠ ABC=108∠ABC=108 ° and ∠BCD= 108 ∠BCD= 108 °

∴ ∠CBP=180-∠ABC∠CBP=180−∠ABC

⇒∠ CBP=(180-108)∠CBP=(180−108)

⇒ ∠CBP=72∠CBP=72 °

And ∠BCP=180-∠ BCD∠BCP=180−∠BCD

⇒ ∠BCP=(180-108)∠BCP=(180−108)

⇒∠BCP=72∠BCP=72 °

From △BCP△BCP ,

∠CBP+∠ BCP+∠BPC=180∠CBP+∠BCP+∠BPC=180

⇒ ∠BPC=180-72-72∠BPC=180−72−72

∴ ∠BPC=36∠BPC=36 °

So, The value of ∠BPC∠BPC is 363°

Hope it helps you...

Answer 2

Answer:

your answer is 363°

Step-by-step explanation:

Answer by @MrMysteryy