Math, asked by reallyme3311, 10 months ago

plz answer this question fast​

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Answered by byaswanth2005
1

Answer:

Hi your answer is as follows

Step-by-step explanation:

∠COD = 2x° - 20°

x°+20°+2x°-20°+60° = 180°  (linear pair/straight angle always has an angle of 180)

3x° = 180° - 60°

3x° = 120°

x = 40°

therefore ∠COD = 2(40)-20° = 60°

Mark as brainliest if you are satisfied with my answer

Answered by ExᴏᴛɪᴄExᴘʟᴏʀᴇƦ
6

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

☞ ∠COD = 60°

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

✭ ∠AOC = (x+20°)

✭ ∠COD = (2x-20°)

✭ ∠DOB = 60°

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

◈ Measure of ∠COD?

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

As it is given that it is a straight line then we know that the sum of the three angles is 180° so,

≫ ∠AOC + ∠COD + ∠DOB = 180°

Substituting the given values,

➳ (x+20°) + (2x-20°) + 60° = 180°

➳ 3x = 180° - 60°

➳ 3x = 120°

➳ x = 120/3

➳ x = 40

So Substituting the value of x in (2x-20)

➝ ∠COD = 2(40) - 20

➝ ∠COD = 80 - 20

➝ ∠COD = 60°

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