in angle xyz and angle x and angle z is of 45 then find the length of side of xy
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90 degree is the correct
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In △XYZ,∠Y=90o,∠Z=ao and ∠X=(a+30)o
XZ=24 ...... (Given)
In triangle XYZ,
∠X+∠Y+∠Z=180o
⟹(a+30)o+90o+ao=180o
⟹2a=60o
⟹a=30o
∴∠Z=30o and ∠Y=60o
Now, sin30o=XZXY
⟹21=24XY
⟹XY=12 cm
Also, cos30o=XZYZ
⟹23=24YZ
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