Question

1. Find x in the following figure.°
class 8​

Answer 1

To Find:- x

Solution:-

angle C+x=180(adjacent angles are supplementary)

We've to find angle C

we know

angle AED+90=180°(adjacent angles)

angle AED=180-90

angl AED=90°

also

angle EDC+60=180°(adjacent angles)

angle EDC=180-60

angle EDC=120°

we know

sum of all interior angles of a regular quadrilateral=360°

here

angle A+angle E+angle D+angle C=360

90+90+120+angle C=360

300+angle C=360

angle C=360-300

angle C=60°

and now to find x

angle C+x=180

60+x=180

x=180-60

x=120°

hope it helps