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in the figure it is given that angle A equal to angle C and a b equal to BC prove that angle a BD concurrence CBE
? Related: Representation of Congruence
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in the figure it is given that angle A equal to angle C and a b equal ...
Given: Angle A = Angle C, AB = BC
To prove: Angle ABD = Angle CBE
Proof:
Step 1: Draw a line segment BD and CE intersecting at point E.
Step 2: Since AB = BC, we can say that triangle ABC is an isosceles triangle.
Step 3: Hence, we can say that Angle BAC = Angle BCA.
Step 4: Also, Angle A = Angle C (Given)
Step 5: From steps 3 and 4, we can say that angle BAC = angle BCA = angle A = angle C.
Step 6: In triangle ABD, we have angle ABD + angle A = 180° (Sum of angles in a triangle)
Step 7: Similarly, in triangle BCE, we have angle CBE + angle B = 180°
Step 8: From steps 5 and 6, we can say that angle ABD + angle BAC = 180° and angle CBE + angle BCA = 180°.
Step 9: Subtracting angle BAC and angle BCA from both the equations in step 8, we get angle ABD = angle CBE.
Step 10: Hence, we have proved that angle ABD = angle CBE.
Conclusion: Therefore, we can conclude that if angle A = angle C and AB = BC, then angle ABD = angle CBE.
To prove: Angle ABD = Angle CBE
Proof:
Step 1: Draw a line segment BD and CE intersecting at point E.
Step 2: Since AB = BC, we can say that triangle ABC is an isosceles triangle.
Step 3: Hence, we can say that Angle BAC = Angle BCA.
Step 4: Also, Angle A = Angle C (Given)
Step 5: From steps 3 and 4, we can say that angle BAC = angle BCA = angle A = angle C.
Step 6: In triangle ABD, we have angle ABD + angle A = 180° (Sum of angles in a triangle)
Step 7: Similarly, in triangle BCE, we have angle CBE + angle B = 180°
Step 8: From steps 5 and 6, we can say that angle ABD + angle BAC = 180° and angle CBE + angle BCA = 180°.
Step 9: Subtracting angle BAC and angle BCA from both the equations in step 8, we get angle ABD = angle CBE.
Step 10: Hence, we have proved that angle ABD = angle CBE.
Conclusion: Therefore, we can conclude that if angle A = angle C and AB = BC, then angle ABD = angle CBE.
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in the figure it is given that angle A equal to angle C and a b equal to BC prove that angle a BD concurrence CBE Related: Representation of Congruence?
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in the figure it is given that angle A equal to angle C and a b equal to BC prove that angle a BD concurrence CBE Related: Representation of Congruence? for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about in the figure it is given that angle A equal to angle C and a b equal to BC prove that angle a BD concurrence CBE Related: Representation of Congruence? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for in the figure it is given that angle A equal to angle C and a b equal to BC prove that angle a BD concurrence CBE Related: Representation of Congruence?.
in the figure it is given that angle A equal to angle C and a b equal to BC prove that angle a BD concurrence CBE Related: Representation of Congruence? for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about in the figure it is given that angle A equal to angle C and a b equal to BC prove that angle a BD concurrence CBE Related: Representation of Congruence? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for in the figure it is given that angle A equal to angle C and a b equal to BC prove that angle a BD concurrence CBE Related: Representation of Congruence?.
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