HOW DO YOU SOLVE THIS Fuck you /sci/ you cuks post this shit

the answer
is 4

50 + a + b = 180
10 + 40 + b + a = 180
???
profit

>>8277661
>he can't solve a system of two equations with two unknowns.

I really hope you are underaged because if not you're basically a retard.

>>8277677
This guy has it.

>>8277677
>literally just wrote the same equation twice
That's not how simultaneous equations work friendo.

>>8277661
60 and 70... cyclic quadrilaterals.

>>8277661
a = [math]70^{\circ}[/math]
b = [math]60^{\circ}[/math]

>>8277685
Assuming that is a cyclic quadrilateral, there's no circle and it doesnt say that it is. (Either way though 60 and 70 is right so it obviously is one)

>>8277685
>>8277991
Why doesn't 50 and 80 work?

>>8278004
60+20+40+50 =! 180.

>>8277991
It's not obvious to me, care to explain?

Numerical computations say that a = 20 degrees. So any clever algebraic tricks had better agree with that.

File: solution.png (10KB, 490x282px) Image search: [Google]

10KB, 490x282px

Im no mathematican so pardon my informal solution:

1. Draw a line through intersection such that two identical new angles are formed (in addition to already present angle of 50 degrees). These angles are 130/2=65
2. Create a parallelogram from the triangle (a,b,50) such that the corners have the degrees 50, a+b, 50, a+b.
3. Mirror the triangle (65, 85, 30) in a similar fashion as with the parallelogram.
4. Blue angle is 180-5-15=160
5. We know the upmost angle 65 from symmetry.
6. The angle 10 is known from 10=180-65-90-15
7. Since a+b=130 and 360=(160-10-a)+10+40+a+b+30 = 360, a=10 and b=120

>>8278847
I've found a contradiction in your construction.

Look at the area in pic related.

Notice how the angle made of the angles of measure 65 and 15 on the top is an exterior angle of the triangle with angles 75, 40, 65.

A Theorem in Euclidean geometry is that the exterior of one angle of a triangle is equal to the sum of the two other interior angles of that triangle.

65 + 15 = 80
but
65 + 40 = 105

Also notice that the angles of 65, 15 and 75 should be complementary but 65 + 15 + 75 does not equal 180

So somewhere you fucked up. I cannot tell you where because without proper notation it is impossible for me to figure out exactly what you did to construct that but I can at least tell you that such a figure does not exist in the plane.

File: youbeatingmethatsamistake.png (26KB, 1772x1508px) Image search: [Google]

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>>8278847
>>8278881

I meant to post this picture.

>>8277661
trace the image in geogebra and youll see those angles are totally made up

File: gjop.jpg (8KB, 248x233px) Image search: [Google]

8KB, 248x233px

>>8277661
>posting your homeworks in /sci/ as challenge problems to get many replies.

>>8277685
It is not cyclic.

File: solution.png (13KB, 490x282px) Image search: [Google]

13KB, 490x282px

>>8278881
I think you mistake the blue angle you outlined for 65. It's actually 90 degrees, I just forgot to draw a square on it, see updated solution.png

so there is no triangle with an angle 65 and an angle 15.

>>8277661
It's a quadrilateral so the sum of the interior angles must be 360. That must mean a=60 degrees and b=70 degrees for there to be 360 degrees in total.

>>8278911
That only means a+b=130. Not enough information.

File: no.jpg (84KB, 1278x815px) Image search: [Google]

84KB, 1278x815px

>>8278891

>>8278891
>>8278943
I was gonna say, 60 and 70 are correct but those angles are most definitely not drawn correctly.

>>8278943
What a waste of time. You can actually use geogebra to find the correct answer.

The center angles being equal on both sides means 40+a=30+b im not sure how but it do

>>8277661
after a bunch of law of sins calculations I get
b=118.72
a= 11.28

>>8277661
https://www.duckware.com/tech/worldshardesteasygeometryproblem.html

>>8279007
Fucking finally.

I got 19.6 and 110.4

>>8278975
Well go ahead because >>8278943 sure as hell didnt get it right.

File: geometry.png (6KB, 408x275px) Image search: [Google]

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The upshot of that link is that drawing a line parallel to the left edge gives you an isosceles triangle, so 30+a=80 => a=50 => b=80

>>8279514
How do you know the triangle is isosceles?

alright so we all know that a+b=130 and if you can't find any contradictions proving otherwise then every solution for a+b=130 works

>>8277684
lel. yeah he's a retard

>>8279533
a=0, b=130

>>8278847
5. What symmetry?

>>8279563
See pic on >>8278907, the line splitting K and J is the same line as the hypotenuse of D. Since 65 is the lower angle of J, 65 must also be the upper angle of D.

100