Question is in the picture help I’m desperate

Question 45

The two remote interior angles 3x and 2x add to the exterior angle 150. This is an application of the remote interior angle theorem

2x+3x = 150

5x = 150

x = 150/5

x = 30

angle BAC = 2x = 2*30 = 60 degrees

Question 46

Choice A is true because of what I mentioned in the previous problem.

Choice B is true because we can find that angle C is 180-150 = 30. Then we can say A+B+C = 2x+3x+30 = 180 as all three interior angles of any triangle always add to 180.

Choice C is true since the equation above x = 30 can be written as 3x-2x = 30. It's a bit of a strange thing to do this, but it's still a valid statement.

Choice D is not true since 2x+3x is 150, which isn't 180 or larger. Even if we didn't know about the 150 at all, we still can't have 2 interior angles of a triangle add to 180 or larger (refer back to choice B).

(sin 42)/31. = sinx)/37

sinx = 37 (sin42)/31

= 37× 0.66/31 = 0.787

x= 51.9

other angle opposite to y = 180-51.9-42

= 180- 93.9 =86.1

so

sin42)/31 = sin 86.1)/y

0.021 = 0.997 /y

y= 0.997/0.021 =47.47

konichiwa~! my name is zalgo and i am here to answer your anime-related question today. more than likely, kirishima would kill izuku, marry mino and kiss momo. all of this would be my opinion by the way. (and i am also a weeb lol)

i hope this you! : d

stay and stay proud! " - zalgo

(and do you think you can mark me as brainliest? i'd greatly appreciate it! arigato~! )