Question

Draw the angle of 150 degree and bisect it

Answer 1

Step-by-step explanation:

• Can we construct 150 degree angle using compass?
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• To construct an angle of 150 deg using a compass, draw a line PQ (P, being on the left), say 12 cm long.
• Select the mid point of PQ as O. With O as center and a radius of 4 cm draw a semicircle cutting OP at R and OQ at S. With R as center and the same radius, 4 cm, cut the semicircle at T. Now, angle QOT is 120 deg and angle POT is 60 deg. Next bisect angle POT. For that with centers R and T draw arcs of 4 cm radius to intersect at X. Join OX. Angle QOX is 150 deg.

Answer 2

Question:-

Draw the angle of 150 degree and bisect it

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Step 1: Compute how 150 can be expressed

 150°=180°-30°

30 degrees is half of 60 degrees which is an angle of equilateral triangle

Step 2: Draw a line segment AB

Step 3: Choose a point C on AB and with BC as radius and centre as C, draw an arc. Again, with same radius but centre as B, draw another arc such that it cuts the previous arc at D. Now as BC=CD=BD, hence angle DCB would be 60°.

Step 4: Draw an arc with centre as D and radius as BC. Draw another arc with same radius but centre as B such that it cuts the previous arc at E. This will make EC the bisector of the angle BCD. Hence angle BCE is 30°.

So, angle ACE of 150 degrees is constructed.