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Q.

The following construction shows _______ degrees.

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a

15

b

30

c

45

d

60

answer is C.

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Detailed Solution

Steps for construction for 45o :

  1. Draw a line segment of any measure, say OZ.
  2. Extend the line segment from one of the endpoints, for instance, extend O towards the left.
  3. Now taking O as a centre and any radius, draw an arc cutting the extended line at P and OZ at N.
  4. Keeping P and N as centres and taking any radius mark two arcs intersecting at Q.
  5. Join OQ.
  6. Now by taking any radius mark an arc cutting OQ and OZ at A and B respectively.
  7. Taking A and B as centres and any radius, mark two intersecting arcs, intersecting at M.
  8. Join OM.
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