Answer:
∠ MAJ = 50°
Step-by-step 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 = [tex]\frac{1}{2}[/tex] (KJ + LM ) = [tex]\frac{1}{2}[/tex] (190 + 70)° = [tex]\frac{1}{2}[/tex] × 260° = 130°
then
∠ MAJ and ∠ KAJ are adjacent angles and sum to 180° , so
∠ MAJ + 130° = 180° ( subtract 130° from both sides )
∠ MAJ = 50°
