PQRS and QTRS are parallelogams and QS is ⊥ to QR. If ∠SPQ=40° , Then find ∠QTR.
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4
Answer:
Answer is 50
Step-by-step explanation:
in PQRS
if angle SPQ =40°
so SPQ=QRS (OPPOSITE ANGLE)
ANGLE P=40 AND Angle R=40
IN QTRS
QS perpendicular to QR
SO ANGLE Q=90+90 =180
so in QTRS
Q=180, R=40+40= 80 ,S=? ,T=?
so let S and T be x
BY THE ANGLE SUM PROPERTY
180+80+X+X=360°
360-260=2x
100÷2= X
X=50
hence T=50, S=50
so angle QTR=50
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Step-by-step explanation:
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