Solve:
(1) Using ruler and compass draw an angle of 150'. Divide it into
four equal parts. What is the measure of each part?
Answers
Answer:
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The given steps will be followed to construct an angle of 153
o
measure and its bisector.
(1) Draw a line I and mark a point O on it. Place the centre of the protractor at point O and the zero edge along line l.
(2) Mark a point A at 153
o
. Join OA. OA is the required ray making 153
o
with line l.
(3) Draw an arc of convenient radius, while taking point O as centre. Let it intersect both rays of angle 153
o
at point A and B.
(4) Taking A and B as centres, draw arcs of radius more than 1/2 AB in the interior of angle of 153
o
. Let those intersect each other at C. Join OC.
(5) Let OC intersect the major arc at point D. Now, with radius more than 1/2 AD, draw arcs while taking A and O as centres, and D and B as centres. Let these be intersecting each other at point E and F respectively. Join OE, OF.
OF, OC, OE are the rays dividing 153
o
angle in 4 equal parts.
Step-by-step explanation:
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