In δabc, ∠a = 120° and ∠b = 40°. what is the measure of ∠ c? which side is the longest?
a) 20°; bc
b) 20°; ac
c) 30°; ac
d) 30°; ab
e) 30°; bc

A3cm×3cm\greend{3\,\text{cm} \times 3\,\text{cm}} 3cm×3cm start color greend, 3, space, c, m, times, 3, space, c, m, end color greend rectangle sits inside a circle with radius of 4cm\blued{4\,\text{cm}} 4cm start color blued, 4, space, c, m, end color blued . what is the area of the shaded region? round your final answer to the nearest hundredth.