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10. akinyi followed the following steps in constructing an angle. (i) d…

Question

  1. akinyi followed the following steps in constructing an angle. (i) draw a horizontal line and mark point c on it. (ii) with c as the centre, draw a semi - circle to meet the line at points d and e. (iii) with d as the centre and with the same radius makes arcs to cross the semi - circle at point f. (iv) join f to c.

Explanation:

Step1: Initial construction

Draw a line and mark point C.

Step2: Semicircle formation

With C as center, draw a semicircle meeting line at D and E.

Step3: Arc - making

With D as center and same radius, arcs cross semicircle at F.

Step4: Angle formed

In an equilateral - triangle formed by radius lengths, ∠FCD = 60°. Joining F and C gives an angle of 60°.

Answer:

An angle of 60° is constructed.