Q 5 In the given figure, △OBC and △ABC are drawn on the same base, i-e , BC - Maths - Congruence of Triangles

Question

Q 5 In the given figure, △ O B C   a n d   △
A B C are drawn on the same base, i-e , BC If AB = AC and BO = OC,
then prove that ∠ A B O = ∠ A C O

Shruti Tyagi · Accepted Answer

Dear student,

since AB=AC⇒∠ACB=∠ABC         (1)        --[equal sides have equal angles opp
 to them]also, given BO=OC⇒∠OCB=∠OBC         (2)        --[equal sides have equal angles opp
 to them]Subtracting (2) from (1) we get,∠ACB-∠OCB=∠ABC- ∠OBC⇒∠ABO=∠ACOHence proved

Q.5. In the given figure, △ O B C a n d △ A B C are drawn on the same base, i-e., BC. If AB = AC and BO = OC, then prove that ∠ A B O = ∠ A C O .

Q.5. In the given figure, $△ O B C a n d △ A B C$ are drawn on the same base, i-e., BC. If AB = AC and BO = OC, then prove that $∠ A B O = ∠ A C O$ .