Question

43. In the given
figure, AB = AC and OB = OC. Then ∠ABO : ∠ACO = ?

(a) 1 : 1 (b) 2 : 1 (c) 1 : 2 (d) None of these. The point at which the two co-ordinates axes meet is called-

(a) the abscissa (b) the ordinate (c) the origin (d) the quadrants​

Answer 1

Answer:

In ΔABC

AB=AC (given)

⇒∠ABC=∠ACB (since angles opposite to equal sides are equal) ---(i)

In ΔOBC

OB=OC (given)

⇒∠OBC=∠OCB (as angles opposite to equal sides are equal) ---(ii)

subtracting (ii)from (i)

∠ABC−∠OBC=∠ACB−∠OCB

⇒∠ABO=∠ACO