Q. 415.0( 2 Votes )

In Fig. 5, l and

Answer :

nchc.png

Proof:


Let l be XY and m Be X’Y’.


From fig-


XDE + X'ED = 180°


[ Sum of consecutive interior angles is 180°.]


(1/2) XDE + (1/2) X'ED = 90°


1 + 2 = 90° ...(1)


[ OD is equally inclined at the tangents]


In Δ ODE,


(1 + 2) + 3 = 180°


[ Angle-sum-property of a Δ]


90° + 3 = 180° [from (1)]


3 = 90°


DOE = 90° …proved

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