Question

PQRS is a rectangle, Angle POQ = 112°, find angles
x, y and z.
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Answer 1

Answer:

angle POQ=112°

so, angle QOR=(180-112)°=68° [ as angle POR is a straight angle]

as, OR=OQ [ diagonals of the rectangle are equal and bisect each other]

so y=z

y= z = (180-68)°/2= 112°/2=56°

as, PQRS us a rectangle so angle PQR=90°

so, x=(90-y)°=(90-56)°=34°

x=34° , y= 56° , z=56°