Question 1204365
i will use 𝛼 = angle A, 𝛽 = angle B, 𝛾 = angle C, a = side a, b = side b, c = sice c, because it's easier to type the problem and solution that way.


you are given that:
sside b = 9, angle B = 98 degrees, angle C = 30 degrees.


the triangle is solved as shown below.


angle A = 52 degrees
angle B = 98 degrees
angle C = 30 degrees
side a = 7.161794878 (shown as y in the diagram).
side b = 9 (showon as 9 in the diagram).
side c = 4.544224076 (shown as x in the diagram).


i used the law of sines to folve.
law of sines states that sin(A) / a = sin(B) / b = sin(C) / c


round your answers as required.


here's my diagram.


<img src = "http://theo.x10hosting.com/2023/101911.jpg">


note:


angle A was equal to 52 degrees because the sum of the interior angles of a triangle = 180.