Does anyone know how to solve these

21. x = 11, y = 12

22. x = 22, y = 17

Step-by-step explanation:

21. See the diagram given with the question.

So, (11x + 5) + (6x - y) = 180 {Those angles are supplementary}

⇒ 17x - y = 175 (1)

⇒ 170x - 10y = 1750 (2)

Again, 11x + 5 = 10y + 6  {Opposite angles are equal}

⇒ 11x - 10y = 1 (3)

Now, from equations (3) and (2) we get

170x - 11x = 1750 - 1

⇒ 159x = 1749

⇒ x = 11

Now. from equation (1), we get y = 17x -175 = 187 - 175 = 12 (Answer)

22. Here the diagram is of a rectangle.

Then similar to the previous problem,

2x - 5 = 3y - 12 {Opposite angles are equal}

⇒ 2x - 3y = -7 (4)

Again, (7y + x) + (3y - 12) = 180 {Those angles are supplementary}

⇒ 10y + x = 192 (5)

⇒ 20y + 2x = 384 (6)

So, from equations (4) and (6) we get

23y = 391, ⇒ y = 17

Now, from equation (5), we get x = 192 - 10y = 22 (Answer)

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