In Fig. 7.49, ∠ B

Question

In Fig. 7.49, &#x2220; B < &#x2220; A and &#x2220; C < &#x2220; D. Show that AD < BC

Philoid · Accepted Answer

It is given in the question that:

∠B < ∠A and,

∠C < ∠D

Now,

AO < BO (i) (Side opposite to the smaller angle is smaller)

OD < OC (ii) (Side opposite to the smaller angle is smaller)

Adding (i) and (ii), we get

AO + OD < BO + OC

AD < BC

In Fig. 7.49, ∠ B <∠ A and ∠ C <∠ D. Show that AD < BC