Question

In the given fig, AB||CD.find the value of x​

Answer 1

Answer:

X. is 50

Step-by-step explanation:

so so ab is parallel to cd. so let's extend cd so that it intersects AE and call the intersection point. Y

so now in triangle YEC

angleYCE + 100 = 180 (linear pair )

so Angle YCE = 80°

NOW if ab || cd. then. AB||YD

and AE is transversal

so angle A = angle EYC

SO ANGLE EYC = 50°

NOW in triangle YEC.

angle EYC + ANGLE X + angle YCE = 180

$50 + x + 80 = 180$

$x = 180 - 130$

$x = 50$

Answer 2

Answer:

angle x = angle A + angle E (sum of the angles on the same side on the transversal = 180°)

=50°+ x° = 180°

=x° =180°- 50°

=x° = 130°

Therefore = x° = 130°