The given is that r║s while the angles are known.
m∠1 = 80 - x
m∠2 = 90 - 2x
m∠1 = m∠2 because of corresponding angles theorem.
So,
m∠1 = m∠2
80 - x = 90 - 2x
- x = 90 - 80 - 2x
- x = 10 - 2x
- x + 2x = 10
x = 10
The value of x is 10
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