Question

Find the value of x in the figure.

Answer 1

Explanation:

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

~Set up an equation and solve for x :

→
`\large{ \tt{10x + 45 \degree = 75 \degree + 70 \degree}}` [ Exterior angle is always equal to the sum of two non-adjacent interior angles ]

Add the numbers : 75° & 70°

→
`\large{ \tt{10x + 45 \degree = 145 \degree}}`

Since we want to get rid of the constant in the left hand side , subtract 45 from both sides :

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`\large{ \tt{10x + 45 \degree - 45 \degree= 145 \degree - 45 \degree}}`

→
`\large{ \tt{10x \: \cancel{ + 45 \degree} \: \cancel{ - 45 \degree} = 100 \degree}}`

→
`\large{ \tt{10x = 100 \degree}}`

~Divide both sides by 10

→
`\large{ \tt{ (10x)/(10) = (100)/(10)}} \degree`

→
`\large{ \tt{x = 10 \degree}}`

⟿
`\boxed{ \boxed{ \large{ \text{Our \: Final \: Answer} : \underline{ \bold{ \tt{x = 10 \degree}}}}}}`

Hope I helped ! ツ

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