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Using a protractor, draw an angle of measure 72°. With this angle as given, draw angles of measure 36° and 54°.

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(1) Draw ∠BAC = 72° using a protractor. 

Using A as the center and radius less than AB and AC, draw a circular arc, intersecting AB and AC at D and E respectively.

(2) Taking D as the center draw an arc of any radius greater than \(\frac{DE}{2}\)

Now, 

Taking E as the center and the keeping the same radius, draw another arc, intersecting the previous arc at F. 

Join AF,

Which intersects the arc DE at point G. 

∠BAF = 36°.

(3) Taking G as the center draw an arc of any radius greater than \(\frac{GE}{2}\)

Now, 

Taking E as the center and keeping the same radius, draw another arc, intersecting the previous arc at H. 

Join AH.

(4) ∠BAH = 54°.

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