Question

Please find the angle x in following figure​

Answer 1

Answer:

45°

Step-by-step explanation:

Sum of exterior angles of any polygon=360 ---------------- 1

given exterior angle are 100°,100°,55° whose sum is 255°

and one interior angle given is 120°

∵ angles on a straight line add to 180°

120°+exterior angle = 180°

∴exterior angle = 180-120=60°

Now,total sum of exterior angles = 255+60=315°

From 1,

315+x=360°

∴x=45°

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Answer 2

Step-by-step explanation:

we know that sum of exterior angle of quadrilateral is 360°

by exterior angle sum property

55°+100°+100°+X=360°

255°+X= 360°

X= 360°-255°

X= 105°

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