Question

Law of sines:

Triangle ABC has measures a = 2, b = 2, and m∠A = 30°. What is the measure of angle B?

15°
30°
45°
60°

Answer 1

angle opp to equal sides are equal so angle B=30 only

Answer 2

Given :

ABC is a triangle.

a = 2

b = 2

m∠A = 30°

To find : m∠B = ?

Solution :

Using the Law of Sines, we get that :

$\dfrac{\sin A}{a}=\dfrac{\sin B}{b}\\\\\dfrac{\sin 30}{2}=\dfrac{\sin B}{2}\\\\\sin 30=\sin B\\\\B=30^\circ$

Hence, Second option is correct.