The question consists of two statements, namely, Assertion (A) and Reason (R). Please select the correct answer.
Assertion (A) | Reason (R) |
∆ABC and ∆DBC are two isosceles triangles on the same base BC. Then, ∠ABD=∠ACD. | The angles opposite to equal sides of a triangle are equal. |
Since, angles opposite to equal sides are equal
AB = AC
∠ABC = ∠ACB (i)
DB = DC
∠DBC = ∠DCB (ii)
Subtracting (ii) from (i),
∠ABC - ∠DBC = ∠ACB - ∠DCB
Hence, the assertion is true and also the reason gives the right explanation of the assertion.
∴ Option A is correct