HJ is extended through point J to point K, \text{m}\angle JHI = (x+12)^{\circ}m∠JHI=(x+12)

∘

, \text{m}\angle HIJ = (x-3)^{\circ}m∠HIJ=(x−3)

∘

, and \text{m}\angle IJK = (5x-6)^{\circ}m∠IJK=(5x−6)

∘

. Find \text{m}\angle IJK. m∠IJK.

Step-by-step explanation:

Jujyjy hduu DUDUDU she usurrvdveu sududh

12

Step-by-step explanation:

∠acb = 8°

step-by-step explanation:

∠xba lies on the circle and is half the measure of the intercepted arc ax

hence

measure of arc ax = 2 × 42° = 84°

∠acb is outside the circle and is

∠acb = (arcab - arcax ), hence

∠acb = 0.5 (100 - 84) = 0.5 × 16° = 8°