Question

In fig:
If QT perpendicular to PR, angle TQR=40° and angle SPR =30° find x, y. ​

Answer 1

Answer:

Step-by-step explanation:

Let the point in which PS AND QT INTERSECT BE O

as QT perpendicular to PR

∠QTP = 90

and we know that ∠SPR = 30

ThEREFORE ∠TOP = 180 -120 = 60(ALL THREE ANGLES IN A TRIANGLE MAKE 180)

as it is vertically opposite to QOS

∠QOS = 60

THEREFORE ∠y = 180 - 100 = 80

now as ∠y = 80 ;

∠rsp = 100

therefore ∠x = 180 - 130 = 50

therefore ∠x = 50 ∠y = 80