Answer: x = 50
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Explanation:
The angles shown are vertical angles. Any pair of vertical angles are always congruent (i.e. equal)
Set the two expressions equal to each other and solve for x.
2(x+10) = 3x-30
2x+20 = 3x-30 ... distribute
2x+20-2x = 3x-30-2x ... subtract 2x from both sides
20 = x-30
20+30 = x-30+30 ... add 30 to both sides
50 = x
x = 50
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Check:
Plug x = 50 into the equation. Both sides should result in the same value
2(x+10) = 3x-30
2(50+10) = 3*50-30
2(60) = 3*50-30
120 = 150-30
120 = 120
The answer is confirmed.
