Question

14. Find the angles x and y in the given figure :​

Answer 1

Answer:

a

Step-by-step explanation:

sum of the angle must be 180 in triangle

so consider as a triangle

and another one is alternative opposite interior angle

Answer 2

Answer:

x = 50 degrees ; y = 50 degrees (Option-a)

Step-by-step explanation:

In triangle EBC,

angle BEC = 90 degrees and, ECB = 40 degrees (given)

Now, applying angle sum property

90 + 40 + x = 180 degrees

=> x = 180 - 130

=> x = 50 degrees

Now, as you can see FC is a perpendicular made on side CB

therefore, CB || AD

So, angle DFC = angle FCB = 90 degrees ( by alternate interior angles)

Therefore angle FCE + Angle EBC = 90 degree

=> y + 40 = 90 degrees

=> y = 50 degrees

I hope it'll help you....