Answer:
55°
Step-by-step explanation:
m∠D = m∠A + m∠B since for a triangle, the exterior angle = sum of interior angles
We can rewrite this as
m∠A + m∠B = m∠D
Given m∠A = (2x)° , m∠B = (3x + 41)° and m∠D = 124° and substituting in the above equation,
2x + (x + 41.5) = 124
2x + x + 41.5 = 124
3x + 41.5 = 124
3x = 124 - 41.5 = 82.5
x = 82.5/3 = 27.5
But m∠A = (2x) = 2 x 27.5 = 55°
