Answer: [tex]93,\ 34^{\circ}[/tex]
Step-by-step explanation:
Given
For figure (i) both triangles are congruent
[tex]\therefore 8x-27=4x+33\\\Rightarrow 8x-4x=33+27\\\Rightarrow 4x=60\\\Rightarrow x=15[/tex]
[tex]\Rightarrow PQ=8x-27\\\Rightarrow PQ=93[/tex]
For figure (ii)
Two triangles WXZ and WZY are congruent
[tex]\therefore 9x-28=5x-8\\\Rightarrow 4x=20\\\Rightarrow x=5^{\circ}\\\Rightarrow \angle YWX=2(9x-28)\\\Rightarrow \angle YWX=2(17)\\\Rightarrow \angle YWX=34^{\circ}[/tex]
