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AMO 2027 Grades 8-9 SET 18 - Self-study Question 12

AMO · AMO 2027 Grades 8-9 SET 18 - Self-study

Question 12

Example 10. In the figure, given that $a\parallel b$ and $c\parallel d$. Find the value of $x$, $y$ and $z$.

**Editorial input convention:** Enter x, then y, then z, separated by semicolons, with no spaces. Format example, not the answer: 1;2;3. The rightmost degree symbol is partially clipped in the original PDF itself; the four labelled angles are $110^\circ$, $(2x)^\circ$, $(z+22)^\circ$, and $(3y+20)^\circ$.

Question illustration