Using a protractor, draw an angle of measure 72°. With this angle as given, draw angles of measure 36° and 54°.
Answers
Steps of Construction:
(1) Draw an angle ∠BAC = 72° with the help of a protractor. Taking A as the center and with any radius less than AB and AC, draw an arc which intersect AB and AC at D and E .
(2) Taking D as the center draw an arc of any radius greater than ½ DE. Now, Taking E as the center and with the same radius, draw an another arc, which intersects the previous arc at F. Now 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 ½ GE. Now, Taking E as the center and with the same radius, draw an nother arc, which intersects previous arc at H. Join AH.
(4) Hence ∠BAH = 54° is a required angle.
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Answer:
Step-by-step explanation:
1) Draw an angle ∠BAC = 72° with the help of a protractor. Taking A as the center and with any radius less than AB and AC, draw an arc which intersect AB and AC at D and E .
(2) Taking D as the center draw an arc of any radius greater than ½ DE. Now, Taking E as the center and with the same radius, draw an another arc, which intersects the previous arc at F. Now 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 ½ GE. Now, Taking E as the center and with the same radius, draw an nother arc, which intersects previous arc at H. Join AH.
(4) Hence ∠BAH = 54°