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strojnjashka [21]
3 years ago
6

Find the value of x.

Mathematics
2 answers:
forsale [732]3 years ago
5 0
180=65+x+x-5
180=60+2x
120=2x
60=x

(x-5)
(60-5)=55

65+60+55=180
deff fn [24]3 years ago
4 0

We know:

The sum of the measures of the angles is equal 180°.

Therefore we have the equation:

x+(x-5)+65=180\\\\x+x-5+65=180\\\\(x+x)+(-5+65)=180\\\\2x+60=180\ \ \ \ |\text{subtract 60 from both sides}\\\\2x=120\ \ \ \ |\text{divide both sides by 2}\\\\\boxed{x=60}

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