Question

Maths lines and angle
Class 9​

Answer 1

Answer:

Step-by-step explanation:

• ∠CAX = 137°
• ∴ ∠CAX + ∠CAB = 180° (LP)
• ∴ ∠CAB = 180° - 137° = 43°
• ∠B = ∠C (Isosceles Δ Property)
• ∠B + ∠C + 43° = 180° (ASP)
• ∠B + ∠C = 180° - 43° = 137° (Ext. ∠ Property)
• ∠B = ∠C = 137/2 = 68.5°
• ∠AHK = ∠B = 68.5 (Corresponding ∠)
• ∠AKH = ∠C = 68.5