Question

Find the value of y if x=2y and angle BEC=30 degrees

Answer 1

Answer:

40

Step-by-step explanation:

from the figure ABED is a cyclic quadrilateral

A+E= 180

and given that BEC=30

so BED = 180-30= 150

so DAB+ DEB = 180

DAB+150=180

DAB=30

and angle DEx = 30 (vertically opposite angle of BEC)

So angle EDX = 180-30-X = 150-X

so angle EDA = 180-(150-X)

= 180-150+X= 30+X

so

angle EBA = 180-(30-X) = 150-X

so angle EBC = 180-150+X = 30+X

so in triangle EBC

30+30+X+Y= 180

X+Y=180-60

2Y+Y = 120

3Y=120

Y= 120/3

Y= 40

so X = 2Y = 2*40=80