Question

Freinds plz solve given problem. ​

Answer 1

Answer:

$\huge{\pink{\green {\sf\boxed{OB = OC. Proved}}}}$

Step-by-step explanation:

$\bold{\underline {Given:}}$

• ∠ABC = ∠ACB
• BD= CE
• ∠DBC = ∠ECB

$\bold{\underline {To\:Prove:}}$

• OB = OC

$\huge {\red{\boxed{Solution⟹}}}$

Given, ∠ABC = ∠ACB

So, AC = AB

ΔBCD and ΔCBE

BD = CE [given]

∠DBC = ∠ECB [given]

BC = CB

By SAS ΔBCD ~ ΔCBE [ C. P. C. T]

∴ ∠BCD = ∠CBE

$\Large\boxed{</em><em>OB</em><em> </em><em>=</em><em> </em><em>OC</em><em>}$ [by SAS]

PROVED

#Be_Brainly

Answer 2

$\huge{\underline{\mathbb{\red{Answer}}}}$

Given:

∠ABC = ∠ACB

BD= CE

∠DBC = ∠ECB

ToProve:

OB = OC

Given, ∠ABC = ∠ACB

So, AC = AB

ΔBCD and ΔCBE

BD = CE [given]

∠DBC = ∠ECB [given]

BC = CB

By SAS ΔBCD ~ ΔCBE [ C. P. C. T]

∴ ∠BCD = ∠CBE

{OB = OC}

OB=OC

[by SAS]

PROVED

_____________________________________

$\huge{\underline{\underline{\mathfrak{Thank you}}}}$