Question

construct angle of following measure using rule ruler and compass 30 degree

Answer 1

The point B on a straight line. Construct an angle of 30 ˚ at point B..



Solution:

Construct a 60˚ angle, and then construct an angle bisector to obtain a 30˚ angle.

Step 1 : Stretch the compasses to any width. Put the sharp end of the compasses at point B and draw an arc on the line. Label the point where the arc intersects the line as point C.



Step 2: While keeping the sharp end of the compasses at point B, move the compasses away from C and draw a second arc above the line about mid-way between points B and C.










Step 3: Without changing the width of the compasses, place the sharp end of the compasses at point C and draw an arc to intersect the second arc.


Step 4 : Draw a line from point B to the point of intersection of the 2 arcs. Angle ABC is 60˚.



Step 5 : We now need to Bisect angle ABC. Put the sharp end of your compasses at point B and make one arc on the line BC (point S) and another arc on line AB (point T).



Step 6 : Without changing the width of your compasses, put the sharp end of the compasses at S and make an arc within the lines AB and BC. Do the same at T and make sure that the second arc intersects the first arc.




Step 7 : Draw a line from point B to the points of intersection of the 2 arcs. This line MB bisects . Angle MBC is 30 degrees.