In the abcde is a regular pentagon. Find <BPC?
Answers
Answered by
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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ayishahiba999:
thnk u so much sir!
Answered by
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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