Question

write the answer for the question above plz​

Answer 1

..Question..ㅤ

∠ AOC and ∠ BOC form a linear pair.

Determine the value of x

..Answer..

*First of all , diagram is not correct !

Given ,

ㅤㅤㅤ➪ ∠ AOC = 4x

ㅤㅤㅤ➪ ∠ BOC = 2x

☯︎ We know that ,

Sum of two angles in a linear pair results in 180⁰

•°• ∠ AOC + ∠ BOC = 180⁰

ㅤ ➪ 4x + 2x = 180

ㅤ ➪ 6x = 180

ㅤ ➪ x = 180/6

ㅤ ➪ x = 30⁰

•°• putting the values

ㅤㅤ➪ ∠ AOC = 4x

ㅤㅤㅤㅤㅤ ㅤ= 4 × 30

ㅤㅤㅤㅤㅤ ㅤ = 120⁰

ㅤ ➪ ∠ BOC = 2x

ㅤㅤㅤㅤㅤㅤ = 2 × 30

ㅤㅤㅤㅤㅤㅤ = 60⁰

•°• 120⁰ + 60⁰ = 180⁰

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Give a look here ,

• Linear pair = 180⁰
• the interior angles of a ∆ adds up to 180⁰
• the exterior angles of a ∆ adds up to 360⁰

ㅤㅤㅤ ꧁ ʙʀᴀɪɴʟʏ×ᴋɪᴋɪ ꧂

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