Question

- In the following figure, g and h are parallel lines and p is the transversal. If angle 1 = x and angle 2 = angle 2x, find the value of x and also find the measures of all the other angles.
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Answer 1

Step-by-step explanation:

so as given,angle 1=x and 2=2x

now angle 1,2 form a linear pair and therfor x+2x=180. (linear pair)

3x=180,then x=60

angle 1=x=60 and angle 2=2x=2×60=120

2=4 and 1=3 so 4=120 and 3=60

now 4+5=180

120+5=180

5=60

if 5=60 then 6=180-60=120

5=7 and 8=6

7=60 and 8=120

thankyou