The Laws of Sines and Cosines

Project ID: 
7200000037
Accepted: 
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Question: 
Some parameters of a general triangle are given (marked as shown in the figure). Match each set of parameters with the value of the sought side/angle, rounded to two decimal places (calculate using a calculator).
Unfolding Image: 
Questions Title: 
Set of Parameters
Answers Title: 
Value of the Sought Side/Angle
Question 1: 
$$b=5,\ c=2,\ \beta=51^{\circ}$$ $$\gamma=\ ?$$
Answer 1: 
$$18.11^{\circ}$$
Question 2: 
$$b=3,\ c=7,\ \gamma=80^{\circ}$$ $$\beta=\ ?$$
Answer 2: 
$$24.96^{\circ}$$
Question 3: 
$$a=5,\ b=7,\ \beta=40^{\circ}$$ $$\alpha=\ ?$$
Answer 3: 
$27.33^{\circ}$
Question 4: 
$$\alpha=50^{\circ},\ a=4,\ \gamma=40^{\circ}$$ $$c=\ ?$$
Answer 4: 
$3.36$
Question 5: 
$$b=4,\ \alpha=30^{\circ},\ \beta=60^{\circ}$$ $$a=\ ?$$
Answer 5: 
$2.31$
Question 6: 
$$a=7,\ b=5,\ \gamma=60^{\circ}$$ $$c=\ ?$$
Answer 6: 
$6.24$
Question 7: 
$$b=11,\ c=7,\ \alpha=45^{\circ}$$ $$a=\ ?$$
Answer 7: 
$7.82$
Question 8: 
$$a=8,\ c=10,\ \beta=30^{\circ}$$ $$b=\ ?$$
Answer 8: 
$5.04$