A geometry problem by इश्वर बस्याल

Geometry Level 3

Find the value of x in degrees.(Note: All the angles are in degrees)


The answer is 30.

इश्वर बस्याल by इश्वर बस्याल , 19, Nepal

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1 solution

Construction: Draw a line AG such that it divides angle DAB in 20 and 40. Join G and E

  1. triangle ABG is isosceles[ base angles equal]

  2. AB=AG

  3. triangle AEB is isosceles [ same as reason 1]

  4. AB = AE= AG

  5. Triangle AGE is isosceles [ AG= AE]

  6. angle AGE= angle AEG= 60

  7. Triangle AGE is equilateral [ all angles 60 ]

  8. GE=AB=AE=AG

  9. trianlge AGD is isosceles [same as reason 1]

  10. GD=GE=AB=AE=AG

  11. trianlge GED is isosceles [ GE= GD]

  12. 40+40+x+40+x=180,
  13. x=30
2 Helpful 0 Interesting 0 Brilliant 0 Confused

super job!!

Mohammad Khaza - 3 years, 5 months ago

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