Properties of Quadrilaterals

2009-03-29 2:45 am

圖片參考:http://hk.geocities.com/poonroger12/parallelogram.JPG

The above figure shows a parallelogram PQRS. Find the value of angles, x and y. Please show all the steps and abbreivations.

回答 (1)

2009-03-29 3:06 am
✔ 最佳答案
Angle SPR = angle PRQ = 26 ( alt. angle PS//QR).
Let PR intersects QS at M, for triangle PMS, angle PSM = 180 - 26 - 117
= 37.
so x = 180 - angle PSM = 180 - 37 = 143 ( supp. angle PS//QR).
Angle SQR = 180 - x = 37 ( adj. angle on a st. line).
y = angle SQR + angle QSR = 37 + 73 = 110 ( ext. angle of triangle).



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