Today is geometry, test your power of reasoning

Anyone?

Incredibly tasking. I shall wait for the solution.
#martinez39

@Mrshape, Darivie04

I got 30°.

The required angle is 30°(π/6 radian).


I used coordinate geometry after many attempts to use laws of sines and laws of cosine which gave very very tedious work(Be warned!). Using coordinate geometry was tedious but not too tedious.

TIP : for those using coordinate geometry, remember that similar triangles have the same shape and therefore the same corresponding angles. So use any size that yields convenient coordinates. To test my answer, observe that the largest triangle is an isosceles triangle.

Martinez39:
@Mrshape, Darivie04

I got 30°.

The required angle is 30°(π/6 radian).


I used coordinate geometry after many attempts to use laws of sines and laws of cosine which gave very very tedious work(Be warned!). Using coordinate geometry was tedious but not too tedious.

TIP : for those using coordinate geometry, remember that similar triangles have the same shape and therefore the same corresponding angles. So use any size that yields convenient coordinates. To test my answer, observe that the largest triangle is an isosceles triangle.

You are correct my brother,
Later I will bring basic solution with proof for it.

Mr shape well done sir
Wil check back at half time of the match

Martinez39:
@Mrshape, Darivie04

I got 30°.

The required angle is 30°(π/6 radian).


I used coordinate geometry after many attempts to use laws of sines and laws of cosine which gave very very tedious work(Be warned!). Using coordinate geometry was tedious but not too tedious.

TIP : for those using coordinate geometry, remember that similar triangles have the same shape and therefore the same corresponding angles. So use any size that yields convenient coordinates. To test my answer, observe that the largest triangle is an isosceles triangle.

Hey man it seems this coordinate geometry can solve a lot of things of things.
Do you have an ebook on it pls.

Kkings11:


Hey man it seems this coordinate geometry can solve a lot of things of things.
Do you have an ebook on it pls.

Try Algebra and Trigonometry by Michael Sullivan. It's not hard.

Mrshape:
Today is geometry, test your power of reasoning

Just seeing it but 40° seems to work(I might be missing something)

Darivie04:

Just seeing it but 40° seems to work(I might be missing something)

40° works but those congruent sides won't be congruent if the unknown angle is 40°. Verify using the Law of Sines.

Darivie04:

Just seeing it but 40° seems to work(I might be missing something)

Check your .Work again sir the answer is 30°

My solution.
?=30°

P.S
Swap z and w in my diagram.

Martinez39:
40° works but those congruent sides won't be congruent if the unknown angle is 40°. Verify using the Law of Sines.

Thanks, that was my missing piece.

I am sorry I have not sent solution since yesterday,
Yesterday was my fourth and final graduation ceremony, I was very occupied and tired after the event , I will make sure I send it before the end of today.
Please Bear with me.

aloha=arctan (-sin20/((sin20/sin80)-cos20))
alpha=30°
Not type that function into your calculator at once or you will loss values and get less than or more than 30 due to approximation
@Martinez39 @Darivie04 @kkings11 and @everyone solution don come

Na wa ooo, math na die. Engineering math is not as difficult as this

Mrshape:
I am sorry I have not sent solution since yesterday,
Yesterday was my fourth and final graduation ceremony, I was very occupied and tired after the event , I will make sure I send it before the end of today.
Please Bear with me.

Congrats!!

Darivie04:

Congrats!!

Thanks, I think made a mistake their,
It was my fourth and final school graduation for the year, it was my students graduating not me,
Anyway thanks for the congratulations.

I think that you need to examine this post https://mathhomeworkdone.com/geometry-homework-help for some great assignment writing tips. I think that you need to examine it as soon as possible. Good luck

Darivie04:
My solution.
?=30°

P.S
Swap z and w in my diagram.

Nice one