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Albert1
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$Quadrilateral \,\,ABCD,\overline{AB}=\overline{AC} ,\angle ABD=60^o,\angle ADB=70^o,
\angle BDC=40^o,find \,\, \angle DBC=?$
\angle BDC=40^o,find \,\, \angle DBC=?$
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hint:Albert said:$Quadrilateral \,\,ABCD,\overline{AB}=\overline{AC} ,\angle ABD=60^o,\angle ADB=70^o,
\angle BDC=40^o,find \,\, \angle DBC=?$
The equation AB=AC means that the length of the line segment AB is equal to the length of the line segment AC.
These angles are related by the fact that they all intersect at the point D and form a triangle. ∠ABD and ∠ADB are adjacent angles, while ∠ADB and ∠BDC are opposite angles.
To find the value of ∠DBC, you can use the angle sum property of triangles, which states that the sum of all angles in a triangle is equal to 180 degrees. You can subtract the known angles ∠ADB and ∠BDC from 180 degrees to find the measure of ∠DBC.
The value of ∠DBC is important because it helps us understand the properties and relationships of the given triangle. It also allows us to accurately measure and calculate other angles and lengths within the triangle.
Yes, there are other methods to solve this problem, such as using the law of sines or the law of cosines. These methods involve using trigonometric functions to find the missing angle or side length. However, the given information in this problem is sufficient to solve for ∠DBC using basic geometry principles.