Math, asked by ayishahiba999, 4 months ago

In the abcde is a regular pentagon. Find <BPC?

Answers

Answered by sachinkumar1812
1

Answer:

363 degree

Step-by-step explanation:

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...

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Answered by calebmdavis9
1

Answer:

im rly sorry i just need point but i can see that it was already answered

Step-by-step explanation:

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