The problem provides two angles: 5x−10∘5x - 10^\circ5x−10∘ and 60∘60^\circ60∘. These angles are vertical angles, which means they are equal.
Since vertical angles are equal, we can set up the equation: 5x−10=60 5x - 10 = 60 5x−10=60
Add 10 to both sides of the equation to isolate the term with xxx: 5x−10+10=60+10 5x - 10 + 10 = 60 + 10 5x−10+10=60+10 5x=70 5x = 70 5x=70
Divide both sides by 5 to solve for xxx: x=705 x = \frac{70}{5} x=570 x=14 x = 14 x=14
The value of xxx is 141414.
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