(y+x)° 2x° (y-x)° what's the answer plz

Remark

Vertically opposite angles are equal, which means that 2x = y - x

Side by side angles are supplementary which, in this case 2x + (y + x) = 180o

Solution

From the first equation we get

2x = y - x     Add x to both sides.

2x + x = y

3x = y

From the second equation we get

2x + (y + x) =  180     Remove the brackets

2x + x + y = 180

3x + y = 180             Substitute 3x = y in this equation

3x + 3x = 180

6x = 180

x = 180/6

x = 30

y = 3x

y = 3*30

y = 90

Answer

x = 30

y = 90

9514 1404 393

  sin(63°) = 0.891

Step-by-step explanation:

The cosine of an angle is the sine of its complement. The angle with a sine of 0.891 is 90° -27° = 63°.

   sin(63°) = 0.891