Question

In the given figure, PQRS is a parallelogram and 2 SPQ = 60°. If the bisectors of ZP and 20 meet at A on RS, prove that A is the mid-poin of RS. ​

Answer 1

Step-by-step explanation:

if And SPQ= 60 then angle APQ= 30

same way angle AQP= 60

so that means triangle AQR is a equilateral triangle

so QR= AR(point1)

and triangle SPA is a isosceles triangle

with PS = SA (point2)

from point 1 and point 2 we can say that

SA= AR

why

SP= QR( opposite sides in a parallelogram)

so if SA =AR

then A will be the mid point only