Question

what is ( mangle k )?

write your answer as an integer or decimal.
( mangle k = square^circ )

Explanation:

Step1: Find arc $HJ$ measure

An inscribed angle is half its arc.
$m\overset{\frown}{HJ} = 2 \times m\angle HIJ = 2 \times 59^\circ = 118^\circ$

Step2: Find arc $IHJ$ measure

Total circle is $360^\circ$.
$m\overset{\frown}{IHJ} = 360^\circ - 118^\circ = 242^\circ$

Step3: Calculate $m\angle K$

Central angle equals its arc.
$m\angle K = m\overset{\frown}{IHJ} = 242^\circ$

Answer:

$242$