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In triangle ABC,D is a point on side AC such that BD=DC and angle BCD measures 70 degrees. What is the measure if of angle ADB?

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unicorn3125
If BD=DC that means triangle CDB is isosceles triangle and the measure of angles ∡CDB and ∡BCD is the same
                                                 ∡CDB=∡BCD=70°

The angles ∡ADB and ∡CDB are adjacent and suplementary angles

It means  ∡ADB + ∡CDB = 180°
                ∡ADB = 180° - ∡CDB
                ∡ADB = 180° - 70°
                ∡ADB = 110°
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