Question

35° Ух 25° у= [ ? 10 Enter

Answer 1

Step-by-step explanation:

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

• Value of y

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

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 :

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

⇾ $\large{ \tt{x + 60 \degree = 180 \degree}}$

⇾ $\large{ \tt{x = 180 \degree - 60 \degree}}$

⇾ $\large{ \tt{x = 120 \degree}}$

• Now ,Find out the value of y

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

⤑ $\large{ \tt{120 \degree + y = 180 \degree}}$

⤑ $\large{ \tt{y = 180 \degree - 120 \degree}}$

⤑ $\boxed{ \large{ \tt{y = 60 \degree}}}$

Another way :

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

↦ $\boxed{ \large{ \tt{y = 60 \degree}}}$

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

⋆ Hope I helped ! ⋆

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