Look at the picture.
[tex]x=90[/tex]
[tex]\angle B\cong\anlge C\to m\angle B=m\angle C=47^o[/tex]
We know, the sum of the measures of the triangle is equal 180°.
Therefore in ΔBCD we have:
[tex]y+47+90=180[/tex]
[tex]y+137=180[/tex] subtract 137 from both sides
[tex]y=43[/tex]
Answer: x° = 90°, y° = 43°.
