Property 2
Degree Subunits
\(1^\circ=60'\)
\(1'=60''\)
\(1^\circ=3600''\)
Degrees, minutes and seconds are converted using division by 60.
1.
\(20^\circ10\'14\"=x\"\)
2.
\(13^\circ12\'34\"=x\"\)
3.
\(4880\"=x^\circ y\'z\"\)
4.
\(3734\"=x^\circ y\'z\"\)
5.
\(8113\"=x^\circ y\'z\"\)
6.
\(K=32^\circ43\'40\"\)
\(L=40^\circ20\'30\"\)
\(K+L=?\)
7.
\(10^\circ30\'50\"+15^\circ40\'40\"=?\)
8.
\(15^\circ30\'40\"+20^\circ10\'30\"=?\)
9.
\(15^\circ30\'40\"-10^\circ40\'50\"=?\)
10.
\(20^\circ40\'12\"-10^\circ50\'20\"=?\)
11.
\(K=63^\circ15\'30\"\)
\(L=50^\circ20\'40\"\)
\(K-L=?\)
12.
\(ABC triangle\)
\(m(A)=42^\circ40\'40\"\)
\(m(B)=70^\circ50\'30\"\)
\(m(C)=?\)
Property 3
Angles differing by a full turn have the same principal measure.
\(\alpha=\alpha_0+360^\circ k\)
\(\alpha=\alpha_0+2k\pi\)
\(0\le\alpha_0<360^\circ\)
\(k\in\mathbb Z\)
1.
\(1000^\circ=?\)
2.
\(2000^\circ=?\)
3.
\(5506^\circ=?\)
4.
\(8740^\circ=?\)
5.
\(-50^\circ=?\)
6.
\(-140^\circ=?\)
7.
\(-1452^\circ=?\)
8.
\(-2400^\circ=?\)
9.
\(7\pi=?\)
10.
\(18\pi=?\)
11.
\(\samefrac{75\pi}{2}=?\)
12.
\(\samefrac{80\pi}{3}=?\)
13.
\(-\samefrac{\pi}{3}=?\)
14.
\(-\samefrac{62\pi}{5}=?\)
15.
\(-\samefrac{21\pi}{4}=?\)