Question

35°
Ух
25°
у= [ ? 10
Enter

Answer 1

Explanation:

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`\underline{ \underline{ \large{ \tt{ \:T \:O \: \: F \: I \: N \: D}}} }:`

• Value of y

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`\underline{ \underline{ \large{ \tt{S \: O \: L \: U \: T \: I \: O\: N}}}} :`

Basically there are two ways to find out the value of y. I'm gonna show you the both ways.

First one :

• Find out the value of x first :

`\large{ \tt{x + 25 \degree + 35 \degree = 180 \degree}} \text{(Sum \: of \: angles \: of \: a \: triangle)}`

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`\large{ \tt{x + 60 \degree = 180 \degree}}`

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`\large{ \tt{x = 180 \degree - 60 \degree}}`

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`\large{ \tt{x = 120 \degree}}`

• Now ,Find out the value of y

`\large{ \tt{x + y = 180 \degree}} \text{(Sum \: of \: angle \: in \: a \: straight \: line})`

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`\large{ \tt{120 \degree + y = 180 \degree}}`

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`\large{ \tt{y = 180 \degree - 120 \degree}}`

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`\boxed{ \large{ \tt{y = 60 \degree}}}`

Another way :

`\large{ \tt{y = 35 \degree + 25 \degree}}` ( Exterior angle is equal to the sum of two non - adjacent interior angles )

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`\boxed{ \large{ \tt{y = 60 \degree}}}`

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`\large{ \boxed{ \boxed{ \tt{Our \: Final \: Answer : \underline{y = 60 \degree}}}}}`

⋆ Hope I helped ! ⋆

Have a wonderful day / night ! ♪

Let me know if you have any questions regarding the answer ! ツ

♡
`\underline{ \underline{ \mathfrak{Carry \: On \: Learning}}}` !! ✎

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