The measure of ∠J in triangle HIJ is 79°.
To find the measure of ∠J in triangle HIJ given ∠I = 17° and ∠H = 84°, we can use the fact that the sum of angles in a triangle is 180°.
The sum of the angles in a triangle is 180°. Therefore:
∠J = 180° - (∠I + ∠H)
Substitute the given angle measures:
∠J = 180° - (17° + 84°)
∠J = 180° - 101°
∠J = 79°