Question

nl and mk are diameters of circle j. complete the statements about circle j. mp is a and measures degrees. mln is a and measures degrees.

Explanation:

Step1: Recall arc - related definitions

An arc whose measure is less than 180° is a minor arc, and an arc whose measure is 180° is a semi - circle, and an arc whose measure is greater than 180° is a major arc. The measure of an arc is equal to the measure of its central angle.

Step2: Find the measure of arc MP

The central angle corresponding to arc MP is 62°. Since 62°<180°, arc MP is a minor arc and its measure is 62°.

Step3: Find the measure of arc MLN

Arc MLN is a semi - circle because NL is a diameter. The measure of a semi - circle is 180°.

Answer:

MP is a minor arc and measures 62 degrees.
MLN is a semi - circle and measures 180 degrees.