Question

PQRS AND QTRS are parallelogram and QS perpendicular QR.if angle SPQ=40* FIND ANGLE QTR

Answer 1

• angle p =angle r =20
• angle s= angle q= 70
• angle q + angle t + angle r = 180*
• 70* + angle t + 20* = 180*
• angle t = 180* - 90*
• angle t = 90*
• angle qtr = 90*

Answer 2

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