Draw an angle ABC of measure 80and make a copy of it using a ruler and compass.
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Step-by-step explanation:
Steps of construction :
(i) Construct an angle ABC=80
∘
.
(ii) Take a line | and mark a point D on it.
(iii) Fix the compass pointer on B and
draw an arc which cuts the sides of ∠ABC at D and E.
(iv) Without changing the compass setting,
place the pointer on P and draw an arc which cuts | at Q.
(v) Open the compass equal to length DE.
(vi) Without disturbing the radius on the compass,
place its pointer at Q and draw an arc which cuts the previous arc at R.
(vii) Join PR and draw ray PR.
Its gives ∠RPQ which is the required angle
whose measure is equal to the measure of ∠ABC.
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