Answer:
78°
Step-by-step explanation:
From the diagram,
Applying sine rule,
SinA/a = sinC/c................... Equation 1
Given: c = 29 cm, C = 50°, a = 37 cm
Substitute into equation 1 and solve for A.
sinA/37 = sin50°/29
sinA = (37×sin50°)/29
sinA = (37×0.766)/29
sinA = 28.34/29
sinA = 0.9774
A = sin⁻¹(0.9774)
A = 77.8°
A ≈ 78°
Hence the measure of angle A = 78°
