Constructing a Copy of an Angle of Unknown Measure

Author:Subject Experts
6th CBSE
IMPORTANT

Important Questions on Constructing a Copy of an Angle of Unknown Measure

HARD
IMPORTANT

Draw an angle of 70°. Make a copy of it using only a straight edge and compasses.

HARD
IMPORTANT

Draw an angle of 40°. Copy its supplementary angle.

MEDIUM
IMPORTANT

Following are the steps of drawing an angle of 80° and constructing a copy of it. Which of the following steps is/are incorrect?

Step-1: Draw an angle of 80° with the help of protractor, i.e., POQ=80°.

Step-2: Draw AB.

Step-3: Place the compasses at O and draw an arc to cut the rays of POQ at L and M.  

Step-4: Use the same compasses setting to draw an arc with A as centre, cutting AB at X.

Step-5: Set your compasses setting to the length OL.

Step-6: With the same radius, place the compasses pointer at X and draw an arc to cut the arc drawn earlier at Y.

Step-7: Join BY and produce it to C. Thus, CAB=80°.