Please answer as soon as possible:
Construct a triangle, two of whose angles measure 45 degrees and 75 degrees, and the common side is 5.5 cm long. Measure the third angle and verify the angle sum property.

Sorry, I cannot construct here but I can give you the steps and they are as follows-
  1. Name the triangle as ABC
  2. Construct BC=5.5 cm
  3. Construct an angle, angle B=45 degree
  4. Draw a ray from there named ray BX
  5. Construct another angle, angle C=75 degree
  6. Draw another ray from their named ray CY
  7. name the intersection point as A.
  8. Measure the angle A, if your construction is right than the angle will measure 60 degree. 
  9. Thus Triangle ABC is the required triangle
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 I CANNOT CONSTRUCT BUT STEPS ARE FOLLOWS:-
Let them ABC
1) Draw rough sketch with given measure
2) Draw a line AB of length 5.5 CM
3) With A as centre draw a ray AX making 45 degrees to the AB
4) With B as centre draw a ray BY making 75 degrees to the BA
5) ABC is the required triangle
          IF IT HELP  PLEASE THUMBS UP
  • 2
Thank you... It surely helped!
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