Question

15. i. In Figure 15a, if Zx = Zy and
Za= Zb, prove that 1||n.
ii. In Figure 15b, show that AB|| EF.​

Answer 1

Step-by-step explanation:

:Given

<ABC = 66° , < BCE = 36° & <ECD = 30° .

As we know ,

<BCD = <BCE + <ECD

<BCD = (36+30)°

<BCD = 66° .

We know that corresponding angle are equal in parallel lines. Here , <ABC = 66° and <BCD = 66° (both of them are equal according to corresponding angle )

Thus, AB||CD .

Now, Given, <CEF = 150°a d <ECD = 30° .

we know that , sum of interior angles in parrallel lines are equal to 180° .

Here ,

Sum of interior angles = <CEF + <ECD = 180°

150°+30° = 180°

180° = 180° .

the sum is equal to 180° , thus , CD || EF .

Now, Here , As we know according to the question , the overall results is

AB || CD || EF .

From, the above statement, it can be concluded that AB || EF .

Hope it will Help you......

....

.....

...

...

...

.....