Question 162951
You're close, but the equation should be:


{{{(180-x) - 5(90-x) = 10}}}



{{{180-x-450+5x=10}}} Distribute.



{{{4x-270=10}}} Combine like terms on the left side.



{{{4x=10+270}}} Add {{{270}}} to both sides.



{{{4x=280}}} Combine like terms on the right side.



{{{x=(280)/(4)}}} Divide both sides by {{{4}}} to isolate {{{x}}}.



{{{x=70}}} Reduce.



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Answer:


So the answer is {{{x=70}}} which means that the angle is 70 degrees