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The following figure shows an isosceles right-angled triangle ABC right angled at B and an equilateral triangle DEF. Find the sum of angles AEF and BDF.
  • a)
    105 degrees
  • b)
    120 degrees
  • c)
    135 degrees
  • d)
    Information provided is not sufficient
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
The following figure shows an isosceles right-angled triangle ABC righ...
 

Let angle AEF be a.
Hence, angle AFE = 180 - (45 + a) = 135 - a
Angle BFD = 180 - (135 - a + 60) = 180 - 195 + a = a - 15
Anglr BDF = 180 - (90 + a - 15) = 180 - 75 - a = 105 - a
Hence, the sum of angle AEF and angle FDB = a + 105 - a = 105 degrees. 
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The following figure shows an isosceles right-angled triangle ABC right angled at B and an equilateral triangle DEF. Find the sum of angles AEF and BDF.a)105 degreesb)120 degreesc)135 degreesd)Information provided is not sufficientCorrect answer is option 'A'. Can you explain this answer?
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