Lines and Angles
solve fast. i, ii and iii
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1st answer
As AB||CD then draw PQ which is also || to AB and CD bisecting angle x into two parts.
diagram refers to the attachment..
So , here x = x1 + x2
x1 = co interior angle of 104°
Sum of co interior angles is 180°
x1 = 180 - 104
x1 = 76°
Now x2 = co interior angle of 116°
x2 = 180°-116°
x2 = 64°
Adding both
x = 140°
2nd answer
Similarly here also draw PQ|| to AB and CD .
So angle x will divided into two parts.
Here x1 = alternate angle of 35°
So, x1 = 35°
and x2 = alternate angle of 65°
So x2 = 65°
Then x = 35+ 65
x = 100 °
3rd answer
Here also draw PQ|| to AB and CD .
So x1 = co interior angle of 35°
x1 = 180- 35
x1 = 145°
x2 = co interior angle of 75°
x2 = 180-75
x2 = 105°
x = 145 + 105
x = 250°
hope it helps
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