Question

Solve for the unknown angle indicated by the variable m. Show all your steps.

Answer 1

m = 70°

Explanation:

∠IHA + ∠AHG = 180 {Linear pair}

∠IHA + 120 = 180

∠IHA = 180 - 120 = 60

In ΔABH ,

∠A + ∠AIH + ∠AHI = 180 {Angle sum property of triangle}

50 + ∠AIH + 60 = 180

∠AIH + 110 = 180

∠AIH = 180 - 110

∠AIH = 70°

BG // CK and AD is transversal,

m = ∠AIH {Alternate interior angles}

m = 70°