Question

The measures of KJ and LM are shown.
What is the m

Answer 1

50

Explanation:

Answer 2

∠ MAJ = 50°

Explanation:

the chord- chord angle KAJ is half the sum of the of the arcs intercepted by the angle and its vertical angle, that is

∠ KAJ =
`(1)/(2)` (KJ + LM ) =
`(1)/(2)` (190 + 70)° =
`(1)/(2)` × 260° = 130°

then

∠ MAJ and ∠ KAJ are adjacent angles and sum to 180° , so

∠ MAJ + 130° = 180° ( subtract 130° from both sides )

∠ MAJ = 50°