please answer fast with proper solution . for class 7
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Given that the angle ABC is congruent to triangle DBF .
Then the questionnaire has asked that If Angle ABD is congruent to Angle CBF or not .
The required Answer is :
Yes they are congruent.
Justification :
Because when we add Angle DBC to both sides , that is to the Left Hand Side and the Right Hand Side then we get Angle ABD is congruent to Angle CBF :
Angle ABC + Angle DBC ≈ Angle DBF + Angle DBC
= Angle ABD ≈ Angle CBF
[If equals are added to equals then the sum are also equal]
Here ≈ stands for congruency
Then the questionnaire has asked that If Angle ABD is congruent to Angle CBF or not .
The required Answer is :
Yes they are congruent.
Justification :
Because when we add Angle DBC to both sides , that is to the Left Hand Side and the Right Hand Side then we get Angle ABD is congruent to Angle CBF :
Angle ABC + Angle DBC ≈ Angle DBF + Angle DBC
= Angle ABD ≈ Angle CBF
[If equals are added to equals then the sum are also equal]
Here ≈ stands for congruency
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