Question

Find the value of x​

Answer 1

Answer:

55°

Step-by-step explanation:

angle C is 90 - 50 = 40°

And in ∆ADC

Angle E + C + D = 180°

85+40+x=180

x = 55°

Answer 2

Answer:

55°.

Step-by-step explanation:

In triangle ABC, angle A+angle ABC+angle C= 180°.(by angle sum property of a triangle).

So, angle C= 180°-(50°+90°)= 180°-140°=40°.

Now, in triangle EDC,

angle DEC+ angle C + x= 180°( by angle sum property of a triangle).

So, x= 180°-(85°+40°)= 180°-125°= 55°.

Therefore, x= 55°.