Q3 of 153 Page 129

In the adjoining figure, ABCD is a quadrilateral in which AB||DC and AD||BC. Prove that =.

Given AB||DC and AD||BC


Therefore, +=180° _____________ (i)


+=180° _____________ (ii)


From equations (i) and (ii)


+ = +


= Proved.


More from this chapter

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1

In the adjoining figure, AB ||CD are cut by a transversal t at E and F respectively. If =70°, Find measure of each of the remaining marked angles.

 2

In the adjoining figure, AB ||CD are cut by a transversal t at E and F respectively. If =5:4, Find measure of each of the remaining marked angles.

 4

In each of the figure given below, AB||CD. Find the value of x in each case.

(i)


(ii)


(iii)

5

In the given figure, AB||CD ||EF. Find the value of x.