Question

plz solve
find x.........question in attachment​

Answer 1

The value of X is 100°

Step-by-step explanation:

In Δ ABC, ∠CAB = 60° + 20° = 80°

AC = AB

=> ∠ACB = ∠ABC..................(i)

In Δ ABC, ∠ACB + ∠ABC + ∠CAB = 180°

=> ∠ABC + ∠ABC + 80° = 180° [using (i)]

=> 2 ∠ABC = 180° - 80° = 100°

=> ∠ABC = $\frac{100^{0}}{2} = 50^{0}$

∠XBC = ∠ABC - ∠ABX = 50° - 10° = 40°

In XAB, ∠XBA + ∠XAB + ∠BXA = 180°

=> 10° + 20° + ∠BXA = 180°

=> 30° + ∠BXA = 180°

=> ∠BXA = 180° - 30° = 150°

∠ACX = 20°

In ΔACX, ∠ACX + ∠X + ∠CAX = 180°

=> 20° + ∠X + 60° = 180°

=> ∠X = 180° - 60° - 20° = 100°

Hence, the value of X is 100°