Wow! There so much extra stuff on this drawing, naturally it's hard to see what's going on.
First, do you remember "vertical angles" ? They're the pair of opposite angles that form where lines cross, and they're equal.
-- It says that angle-1 is 55 degrees. Angle-1 and angle-7 are vertical angles, so angle-7 is also 55 degrees.
-- It says that angle-4 is 60 degrees. Angle-4 and angle-6 are vertical angles, so angle-6 is also 60 degrees.
Now you can forget about all that stuff that's outside of the triangle in the middle, and just look at the triangle. They want you to find angle-10.
See the angles at the top of the triangle ... angle-7 and angle-6 ? We know what both of those are. Angle-7 is 55 degrees, and angle-6 is 60 degrees.
Do you remember what the 3 angles inside a triangle always add up to ? They always add up to 180 degrees.
Add angle-7 and angle-6 together . . . 55 + 60 = 115 degrees.
So angle-10 is just the rest of the 180 degrees inside the triangle.
Angle-10 = 180 - (115) = 65 degrees
To find angle-10, recognize that angle-7 and angle-6 are vertical angles and have respective measurements of 55 and 60 degrees. By adding these two angles, you find they total 115 degrees; therefore, angle-10 is equal to 65 degrees, as all angles in a triangle must add up to 180 degrees.
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Jawaban:sistem persamaan berikut:1. x - 2y = -92. 1/4x - 1/2y = 10 Metode Substitusi:- Dari persamaan (1), kita dapatkan:x = 2y - 9- Substitusikan x ke dalam persamaan (2):1/4(2y - 9) - 1/2y = 101/2y - 9/4 - 1/2y = 10-9/4 = 10Ini tidak mungkin, karena -9/4 tidak sama dengan 10. Metode Eliminasi:- Kalikan persamaan (2) dengan 4:x - 2y = 40- Sekarang kita punya sistem persamaan:x - 2y = -9x - 2y = 40- Kurangkan persamaan (1) dari persamaan yang sudah diubah:(x - 2y) - (x - 2y) = 40 - (-9)0 = 49Ini juga tidak mungkin, karena 0 tidak sama dengan 49. Kesimpulan:Sistem persamaan ini tidak memiliki solusi. Persamaan-persamaan tersebut mewakili garis-garis sejajar yang tidak pernah berpotongan.