Question

please solve this question I will mark you BRAINLEST answer is wrong I will report your answer ​

Answer 1

Answer:

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Answer 2

Given :-

• ∠AOC = (3x + 5)°
• ∠BOC = (2x - 25)°

To Find :-

• value of x ?

Solution :-

∠AOC and ∠BOC are angles of a straight line and also angles of linear pair

and we know that,

• sum of angles of a straight line or linear pair is equal to 180°

➪ ∠AOC + ∠BOC = 180°

$\bold{: \implies (3x + 5 ) \degree+ (2x - 25) \degree= 180 \degree } \\ \\ \bold{: \implies 3x + 5 + 2x - 25 = 180} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \bold{: \implies 5x - 20 = 180 } \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \bold{: \implies 5x = 180 + 20 }\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \bold{: \implies 5x = 200 }\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \bold{: \implies x = \cancel \frac{200}{5} } \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \bold{ : \implies x = 40}\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:$

hence, value of x is 40