Thank you for the opportunity to help you with your question!

Any two adjacent angles ( that is, two angles next to each other) will make a straight angle.

A straight angle = 180 degrees.

So 4y + 17y -9 = 180

21y -9 = 180 (because 4y + 17y = 21y)

Add 9 to both sides:

21y + 9 -9 = 180 + 9

21y = 189

Divide both sides by 21

21y ÷ 21 = 189 ÷ 21

y = 9

Similarly 5x +1 + 21x -3 = 180

26 x -2 = 182 (note 5x + 21x = 26x and 1 -3 = -2)

add 2 to both sides

26x + 2 -2 = 2 + 180

26x = 182

divide both sides by 26

26x ÷ 26 = 182 ÷ 26

x = 7

slight error for second part

26 x -2 = 180 (note 5x + 21x = 26x and 1 -3 = -2)

thank you so much

Your welcome.

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