Question

find the value of x = ?​

Answer 1

Answer:

x = 120°

Step-by-step explanation:

Given: AB II CD, <BAE = 50° and <DCE = 70°

Construction: Draw a line PQ II AB II CD passing through E.

Solution:

Now, AB II PQ and AE is the transversal.

So, <AEP = <BAE = 50° (Alternate interior angles)

Similarly, PQ II CD and CE is the transversal.

So, <CEP = <DCE = 70°

Now, <AEC = <AEP + <CEP

or, x = 50° + 70° = 120°

Hope it helps :-)