Answer:
m∠A = 58°
Step-by-step explanation:
In ΔABC,
m∠BAC = (x + 63)°
m∠ABC = (x + 96)° [Vertically opposite angles]
m∠ACB = (180° - 149°)
= 31°
By triangle sum theorem,
m∠ABC + m∠ACB + m∠BAC = 180°
(x + 96) + 31 + (x + 63) = 180°
2x + 190 = 180
2x = -10
x = -5
Therefore, measure angle A = (x + 63)
= -5 + 63
= 58°
