Answer:
x = 4, y = 12
Explanation:
The opposite angles of a cyclic quadrilateral sum to 180° , then
25x - 2 + 7y - 2 = 180
25x + 7y - 4 = 180 ( add 4 to both sides )
25x + 7y = 184 → (1)
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22x + 7 + 7y + 1 = 180
22x + 7y + 8 = 180 ( subtract 8 from both sides )
22x + 7y = 172 → (2)
Subtract (2) from (1) term by term to eliminate y
3x + 0 = 12
3x = 12 ( divide both sides by 3 )
x = 4
Substitute x = 4 into either of the 2 equations and solve for y
Substituting into (1)
25(4) + 7y = 184
100 + 7y = 184
7y = 84 ( divide both sides by 7 )
y = 12