Question

Help please? 15 points here

Answer 1

64°

Explanation:

In circle with center P, AD is diameter.

`\therefore m\angle DPE + m\angle APE = 180\degree \\</p><p>\therefore (33k-9)\degree + 90\degree = 180\degree \\</p><p>\therefore (33k-9)\degree = 180\degree -90\degree \\</p><p>\therefore (33k-9)\degree = 90\degree \\</p><p>\therefore 33k-9 = 90\\</p><p>\therefore 33k= 90+9\\</p><p>\therefore 33k= 99\\</p><p>\therefore k= (99)/(33)\\</p><p>\therefore k=3\\</p><p></p><p> m\angle CPD = (20k +4)\degree \\</p><p>\therefore m\angle CPD = (20* 3 +4)\degree \\</p><p>\therefore m\angle CPD =(60+4)\degree \\</p><p>\therefore m\angle CPD =64\degree \\</p><p></p><p>m\overset {\frown}{CD} = m\angle CPD\\</p><p>\therefore m\overset {\frown}{CD} = 64\degree </p><p>`