Question

5. In the adjoining figure, AB||CD. ZABE=115° and ZECD=110°.
Find the value ofx.
[Hint: Draw a parallel to AB passing through E]​

Answer 1

Answer:

45°

Step-by-step explanation:

given; AB||CD

angle ABE = 115° and angle ECD = 110°

then find the value of x.

Draw XY parallel to both AB and CD

then; AB||CD||XY

here, AB||XY and BE is the transversal

so, angle ABE = angle BEY = 115°

and here CD||XY and CE is the transversal

so, angle DCE + angle CEY = 180°

110° + 115°-x = 180° ( CEY = 115-x)

225°-x = 180

x = 225°-180°

x = 45°, ans...