Question

Find the measure of angle HJI

Answer 1

Explanation:

∠FJH = ∠GJI {Vertically opposite angles}

5x = x + 60

5x - x = 60

4x = 60

x = 60/4

x = 15

∠FJH = 5x = 5*15 = 75°

∠FJH + ∠HJI = 180° {straight line}

75 +∠HJI = 180

∠HJI = 180 - 75

∠HJI = 105°

Answer 2

105 degrees

Explanation:

x+60 = 5x

x = 15

Angle HJF = 15*5 = 75

Angle IJH = 180 - 75

= 105

Hope this helps!!!

Let me know if I'm wrong...