Question

Construct the following angles using ruler and compass and verify by measuring them by protractor. a)30degrees. b)22.5. c)15. d)75. e)105. f) 135

Answer 1

The first 2 steps are the same for every angle. Draw a line segment and draw a half circle on either side of a line.

a) 30 degrees
Draw an arc from the inner end of the circle and on the circle that makes an angle of 60. draw another arc outside the circle and the other arc from the 60's arc. They will cut each other and makes an angle of 30

b) 15 degree

By dividing the angle of 30, 15 degree angle will be formed. Use the arcs making 30 degree to make a new arc and a starting end of circle for other arc. Making an angle of 15

c) 22 degree

By diving the angle of 15 and 30, the angle of 22 will be formed. Use the procedure as given above

d) 75 degree

Divide angles of 60 and 90 and you will get 75 degrees

e) 105 degree

By using the 90 degree make a new arc on circle that will be of 120. divide the angles of 120 and 90 and you will get the angle of 75

f) 135 degree

Make an arc by using 120 degree. new angle of 180 will be formed. divide the angles of 120 and 180. you will get the new angle of 135