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Triangle ABC is right angled at c and CD is perpendicular to AB,Angle A =55degree.find angle ACD 2)angle BCD and angleABC?
Verified Answer
Triangle ABC is right angled at c and CD is perpendicular to AB,Angle ...
Ans.
Method to Solve :
In the triangle ABC , 3. Angle BDC = 90� .given
Therefore Angle CBD +BDC +BCD= 180.Sum of angles of triangle
40�+90�+BCD=180�
130�+BCD=180�
BCD=50�
Angle ACB=90 .given
Angle ACB=Angle ACD+BCD
90�=ACD+50�
Angle ACD=40�
Angle ABC=40� .(A-D-B)
ACB+ABC+BAC=180� .Sum of angles of triangle
Therefore 90�+40�+BAC=180�
130�+BAC=180�
BAC=50�
This question is part of UPSC exam. View all Class 7 courses
Most Upvoted Answer
Triangle ABC is right angled at c and CD is perpendicular to AB,Angle ...
Angle ACD:
- In triangle ABC, angle A is given as 55 degrees and angle C is a right angle.
- Since the sum of angles in a triangle is 180 degrees, we can find angle B by subtracting angles A and C from 180 degrees.
- Angle B = 180 degrees - 55 degrees - 90 degrees (angle C) = 35 degrees.
- CD is perpendicular to AB, so angle ACD is a right angle.
- Therefore, angle ACD = 90 degrees.
Angle BCD:
- In triangle BCD, angle BCD is a right angle because CD is perpendicular to AB.
- We know that angle ACD is 90 degrees (as calculated above).
- The sum of angles in triangle BCD is 180 degrees, so we can find angle BCD by subtracting angles ACD and B from 180 degrees.
- Angle BCD = 180 degrees - 90 degrees - 90 degrees (angle B) = 0 degrees.
- Therefore, angle BCD is 0 degrees.
Angle ABC:
- In triangle ABC, angle ABC is the right angle at C.
- The sum of angles in a triangle is 180 degrees, so we can find angle ABC by subtracting angles A and C from 180 degrees.
- Angle ABC = 180 degrees - 55 degrees - 90 degrees (angle C) = 35 degrees.
- In triangle ABC, angle A is given as 55 degrees and angle C is a right angle.
- Since the sum of angles in a triangle is 180 degrees, we can find angle B by subtracting angles A and C from 180 degrees.
- Angle B = 180 degrees - 55 degrees - 90 degrees (angle C) = 35 degrees.
- CD is perpendicular to AB, so angle ACD is a right angle.
- Therefore, angle ACD = 90 degrees.
Angle BCD:
- In triangle BCD, angle BCD is a right angle because CD is perpendicular to AB.
- We know that angle ACD is 90 degrees (as calculated above).
- The sum of angles in triangle BCD is 180 degrees, so we can find angle BCD by subtracting angles ACD and B from 180 degrees.
- Angle BCD = 180 degrees - 90 degrees - 90 degrees (angle B) = 0 degrees.
- Therefore, angle BCD is 0 degrees.
Angle ABC:
- In triangle ABC, angle ABC is the right angle at C.
- The sum of angles in a triangle is 180 degrees, so we can find angle ABC by subtracting angles A and C from 180 degrees.
- Angle ABC = 180 degrees - 55 degrees - 90 degrees (angle C) = 35 degrees.
Community Answer
Triangle ABC is right angled at c and CD is perpendicular to AB,Angle ...
AREA OF TRIANGLE ABC=30CM AND LENGHT OF AD=60UPON13CM
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Triangle ABC is right angled at c and CD is perpendicular to AB,Angle A =55degree.find angle ACD 2)angle BCD and angleABC?
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Triangle ABC is right angled at c and CD is perpendicular to AB,Angle A =55degree.find angle ACD 2)angle BCD and angleABC? 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 Triangle ABC is right angled at c and CD is perpendicular to AB,Angle A =55degree.find angle ACD 2)angle BCD and angleABC? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Triangle ABC is right angled at c and CD is perpendicular to AB,Angle A =55degree.find angle ACD 2)angle BCD and angleABC?.
Triangle ABC is right angled at c and CD is perpendicular to AB,Angle A =55degree.find angle ACD 2)angle BCD and angleABC? 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 Triangle ABC is right angled at c and CD is perpendicular to AB,Angle A =55degree.find angle ACD 2)angle BCD and angleABC? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Triangle ABC is right angled at c and CD is perpendicular to AB,Angle A =55degree.find angle ACD 2)angle BCD and angleABC?.
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