AP stands on BC at P and
∠APB = 5x – 40°, ∠APC = x + 10°
(i) ∵ APE is a straight line
∠APB + ∠APC = 180°
⇒ 5x – 40° + x + 10° = 180°
⇒ 6x - 30°= 180°
⇒ 6x= 180° + 30° = 210°
x = (210/6)°
= 35°
(ii) and ∠APB = 5x – 40° = 5 x 35° – 40°
= 175 ° – 40°
= 135°