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-
- Name the triangle as ABC
- Construct BC=5.5 cm
- Construct an angle, angle B=45 degree
- Draw a ray from there named ray BX
- Construct another angle, angle C=75 degree
- Draw another ray from their named ray CY
- name the intersection point as A.
- Measure the angle A, if your construction is right than the angle will measure 60 degree.
- Thus Triangle ABC is the required triangle