Given that a = 42°, b = 56°, and a = 7, solve triangle abc. round the answers to the nearest hundredth, if necessary.

a. c=82°, b=3.92, c=10.36

b. c=2°, b=3.92, c=10.36

c. c=2°, b=8.67, c=10.36

d. c=82°, b=8.67, c=10.36

Option D is correct.

Step-by-step explanation:

Given,

In ΔABC, ∠A = 42° , ∠B = 56° & a = 7

We use law of sines,

which has following expression:

First we find value of ∠C

∠A + ∠B + ∠C = 180°   (Angle Sum Property of Triangle)

42 + 56 + ∠C = 180

∠C = 180 - 98

∠C = 82°

Now using law of sines, we get

Therefore, Option D is correct.