Question

In the below figure angle abc is 69 degree, angle acb is 31 degree so find the angle bdc

Answer 1

Answer:

$\angle BDC=80^{\circ}$

Step-by-step explanation:

We are given that

$\angle ABC=69^{\circ}$

$\angle ACB=31^{\circ}$

We have to find the angle BDC.

In triangle ABC

Sum of interior angles of triangle=180 degrees

$\angle ABC+\angle ACB+\angle BAC=180^{\circ}$

$69+31+\angle BAC=180$

$100+\angle BAC=180$

$\angle BAC=180-100$

$\angle BAC=80^{\circ}$

$\angle BAC=\angle BDC=80{\circ}$

Angles subtended on the same are ac are equal.

$\angle BDC=80^{\circ}$