Q:

NL and MK are diameters of circle J. Complete the statements about circle J. MP is a major arc/minor arc and measures __ degrees. MLN is a minor arc/major arc/semicircle and measures __ degrees.

Accepted Solution

A:
Given that NL and MK are diameters of circle J. Then to evaluate the statements we proceed as follows:
a]
Size of arc MP is 62+90=152°, since MP is smaller than MLN then it is a minor arc. Hence the correct statement is:
MP is a minor arc and measures 152°, 

b] Size of MLN is 360-62=298°, thus it is a major arc. Hence the correct statement is:
MLN is  major arc and measures 298 degrees