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3 years ago

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?

Mathematics

1 answer:

mars1129 [50]3 years ago

5 0

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°
      <u>∡ADB = 110°</u>

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