Question

C. 1. Find the measure of x in the following figure. Give reasons for your statements : ​

Answer 1

Answer:

Let the interior angle of 50°=y

also Interior Angle of 60°=z

z+60=180°(adjacent angles)

z=120°

y+50=180(adjacent angles)

y=130°

and also

z+y+x+x+40=540°(sum of all interior angles of a Pentagon= 540°)

120+130+2x+40=540

2x=540-290

2x=250

x=250/2

x=125°

Let's check whether it's correct or not

z+y+x+x+40=540°

120+130+125+125+40=540

540°=540°

L.H.S=R.H.S

hence verified

hope it helps

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