Hey!
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We can use 2x + 7 = 3x - 7 to solve for the corresponding measures.
Let's solve for x:
2x + 7 = 3x - 7
2x + 7 - 2x = 3x - 7 - 2x
7 = x - 7
7 + 7 = x - 7 + 7
14 = x
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We can use (2x + 7) + (12y + 1) = 180 to solve for the straight angle.
Substitute for x
(2(14) + 7) + (12y + 1) = 180
(28 + 7) + (12y + 1) = 180
35 + 12y + 1 = 180
Now solve for y:
36 + 12y = 180
36 + 12y - 36 = 180 - 36
12y = 144
12y/12 = 144/12
y = 12
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Now we can solve for all the angles.
(2x + 7) = 35°
(12y + 1) = 145°
(3x - 7) = 35°
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Hope This Helped! Good Luck!