Trig q

[rigid cape]

For this question what is the deeper meaning as to why we would minus it from 180? Yes, the angle was 30.62 meaning we will have to make it obtuse by minusing it, howevever, why was the answer giving me an acute angle in the first place?

[tidal nest]

because when you work out

PQ * QR times the angle

diagram

area of a parallelogram is

both sides multiplied

times sine of any angle

sin of both the green angles are the same

so when you do arcsin

you get the smaller one

just how arcsin works

but the question specifies the other angle basically

[rigid cape]

ah i see thank you, i was working out through spliting the parallelogram into 2 to make it into triangles, to then use sine rule to calculte the finhal

[tidal nest]

so you need to do 180- to get the other one

ah isee

[rigid cape]

final angle which gave me only one angle less than 180

but ur methord makes sense thanks

[tidal nest]

nws!

[rigid cape]

so my methord is just weird, and doesn't need much explenation right, since its a triangle made from a parallelogram

not a random triangle ]

[tidal nest]

yeah your method makes sense

another way to think about it is that

heres two ways to split the same parallelogram into tw

now clearl

cuz the parallelogram is a fixed area

splitting these two different ways

must keep the area the same

right?

[rigid cape]

ohh makes senseeee

thank you smmm

[tidal nest]

but both of these are red * blue * 1/2 * sin(green)