Answer: 1. ∠A= 80.75° 2. 41.79 [tex]cm^2[/tex]
Step-by-step explanation:
Since, According to the sines low,
[tex]\frac{sin A}{CB} = \frac{sin C}{AB}[/tex]
Here, CB= 4.1 cm, AB = 3.3 and ∠ C = 52.6°
[tex]\frac{sin A}{4.1} = \frac{sin 52.6}{3.3}[/tex]
⇒ [tex]sin A = 4.1\times\frac{sin 52.6}{3.3}[/tex]
⇒ [tex]sin A =0.98699998308[/tex]
⇒ A = 80.75°
2. Since, the area of the given figure = Area of the rectangle having dimension 8.3 × 4.2 + Area of the half square of radius 2.1
=34.86 + 6.93
= 41.79 square cm
