What are the basic angles which we need to know to construct using a compass? Share with your friends Share 0 R.lakshyaprasad answered this 30 degrees 60,45,90,120 and 105 2 View Full Answer R.lakshyaprasad answered this 75 and 15 also sometimes 1 Nimisha Bansal answered this 30, 45, 60, 90, 120 degree angles are enough because you can easily make other angles if you know these. 2 R.lakshyaprasad answered this In other words angles which are multiples of 15 degrees 1