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In figure, ABCD is a quadrilateral in which AB = BC and AD = DC. Measure of ∠BCD is:



  • a)
    30

  • b)
    72

  • c)
    150

  • d)
    105

Correct answer is option 'D'. Can you explain this answer?
Verified Answer
In figure, ABCD is a quadrilateral in which AB = BC and AD = DC. Measu...
In ΔABC ,as it is isoceles so,
∠BCA=36°  [ (180°-108°)/2 ]
In ΔADC ,as it is isoceles so,
∠DCA=69°  [ (180°-42°)/2 ]
∠BCD=∠BCA+∠DCA
∠BCD=36°+69°
∠BCD=105°
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Most Upvoted Answer
In figure, ABCD is a quadrilateral in which AB = BC and AD = DC. Measu...
Angle DBC= 1/2angle ABC
ANGLE DBC= 54..
angle BDC= 1/2 angle ADC.
ANGLE BDC= 21..
angle DBC+angle DBC+ angle BCD =180..
then 54+21+angle BCD =180..
ANGLE BCD= 105
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Community Answer
In figure, ABCD is a quadrilateral in which AB = BC and AD = DC. Measu...
Construct join BD so that angle abc equal to angle CBSE and angle ADB equal to angle C D B now in triangle BCD Angle B + angle D + angle c equal to 180 degree by angle sum property this mean angle b is equal to 54 and angle D equal to 21 in triangle BCD 54 + 21 + angle C equal to 180 degree angle C is equal to 180 degree minus 75 now angle C is value is 105
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In figure, ABCD is a quadrilateral in which AB = BC and AD = DC. Measure of∠BCD is:a)30b)72c)150d)105Correct answer is option 'D'. Can you explain this answer? for Class 9 2025 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about In figure, ABCD is a quadrilateral in which AB = BC and AD = DC. Measure of∠BCD is:a)30b)72c)150d)105Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 9 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In figure, ABCD is a quadrilateral in which AB = BC and AD = DC. Measure of∠BCD is:a)30b)72c)150d)105Correct answer is option 'D'. Can you explain this answer?.
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