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

Answer:

[tex]\angle BDC=80^{\circ}[/tex]

Step-by-step explanation:

We are given that

[tex]\angle ABC=69^{\circ}[/tex]

[tex]\angle ACB=31^{\circ}[/tex]

We have to find the angle BDC.

In triangle ABC

Sum of interior angles of triangle=180 degrees

[tex]\angle ABC+\angle ACB+\angle BAC=180^{\circ}[/tex]

[tex]69+31+\angle BAC=180[/tex]

[tex]100+\angle BAC=180[/tex]

[tex]\angle BAC=180-100[/tex]

[tex]\angle BAC=80^{\circ}[/tex]

[tex]\angle BAC=\angle BDC=80{\circ}[/tex]

Angles subtended on the same are ac are equal.

[tex]\angle BDC=80^{\circ}[/tex]

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