Question

in the adjoining fig , abcd is a rectangle. find the value of x and y​

Answer 1

$x = 45° \: \: and \: \:\: y = 90°$

Step-by-step explanation:

$we \: \: see \: \: <OBA=<OAB=45° \\ and \: \: \: <CBA=90° \\ Now, \: \: \: <CBO+<OBA=90° \\ putting \: \: value \\ x°+45°=90° \\ x°=90°-45° \\ \boxed{x°=45° }\\ Now, \: \: ∆AOB in \\ <OAB+<OBA+<AOB=180° \\ we \: \: know \: \: <OBA=<OAB=45° \\ and \: \: <AOB=<DOC=y° \\ putting \: \: value \\ 45°+45°+y°=180° \\ 90°+y°=180° \\ y°=180°-90° \\ \boxed{y°=90°}$