Math, asked by komalnayan08, 10 months ago

who like maths than solve first correct answer brainiest answer ​

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Answered by tanmaydafe
3

Step-by-step explanation:

4x+5x+3x+(6x-10)+(7x-5)=360°

25x-15=360°

25x=360+15

25x=175

x=175/25

x=7

angle BOC =4x=4×7=28°

angle=[6x-10]=6×7-10=42-10=32°

angle=7x-5=7×7-5=49-5=44°

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Answered by ExᴏᴛɪᴄExᴘʟᴏʀᴇƦ
12

\large\underline{\underline{\pink{\sf Answer}}}

☞ ∠AOB = 45°

☞ ∠BOC = 60°

☞ ∠DOE = 80°

☞ ∠EOA = 100°

\large\underline{\underline{\red{\sf Given }}}

✭ ∠AOE = (7x-5)

✭ ∠EOD = (6x-10)

✭ ∠DOC =(5x)

✭ ∠COB = (4x)

✭ ∠BOA = (3x)

\large\underline{\underline{\green{\sf To \ Find}}}

◈ Measure of the angles,

◕ ∠AOB

◕ ∠BOC

◕ ∠DOE

◕ ∠EOA

\large\underline{\underline{\blue{\sf Steps}}}

Here all the Angles will add up to 360°, so

➝ ∠AOE + ∠EOD + ∠DOC + ∠COB + ∠BOA = 360°

➝ 7x-5 + 6x-10 + 5x + 4x + 3x = 360°

➝ 25x - 15 = 360°

➝ 25x = 360 + 15

➝ 25x = 375

➝ x = 375/25

➝ x = 15

So now,

➳ ∠AOB = 3(15) = 45°

➳ ∠BOC = 4(15) = 60°

➳ ∠DOE = 6(15)-10 = 80°

➳ ∠EOA = 7(15)-5 = 100°

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