Find the value of x in the figure.
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1 Answer

1. User Answers TheAnimeGirl
Stepbystep explanation:
✧ [tex] \underline{ \underline{ \large{ \tt{S \: O \: L \: U \: T \: I \: O \: N}}}} : [/tex]
~Set up an equation and solve for x :
→ [tex] \large{ \tt{10x + 45 \degree = 75 \degree + 70 \degree}}[/tex] [ Exterior angle is always equal to the sum of two nonadjacent interior angles ]
Add the numbers : 75° & 70°
→ [tex] \large{ \tt{10x + 45 \degree = 145 \degree}}[/tex]
Since we want to get rid of the constant in the left hand side , subtract 45 from both sides :
→ [tex] \large{ \tt{10x + 45 \degree  45 \degree= 145 \degree  45 \degree}}[/tex]
→ [tex] \large{ \tt{10x \: \cancel{ + 45 \degree} \: \cancel{  45 \degree} = 100 \degree}}[/tex]
→ [tex] \large{ \tt{10x = 100 \degree}}[/tex]
~Divide both sides by 10
→ [tex] \large{ \tt{ \frac{10x}{10} = \frac{100}{10}}} \degree[/tex]
→ [tex] \large{ \tt{x = 10 \degree}}[/tex]
⟿ [tex] \boxed{ \boxed{ \large{ \text{Our \: Final \: Answer} : \underline{ \bold{ \tt{x = 10 \degree}}}}}}[/tex]
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