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Q.6. In the given figure, find the value of x, if l m .

Dear student

Given: 1=2x+15°, 3=3x+30°Since lm1=2   Co-interior anglesNow we know that co-interior angles add upto 180°1+2=180°2=180°-12=180°-2x+15°2=180-2x-15°2=165°-2xAlso 2=3  Alternate interior angles165°-2x=3x+30°165°-30°=5x135°=5xx=27°
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  • 0
(2x + 15) + (3x +30) = 180   (corresponding angles and Linear pair)
2x + 3x + 15 + 30 = 180
5x + 45 = 180
5x = 135
x = 27
  • 2
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