Question

. In the adjoining figure, PQ parallel SQ. Show that x=y.​

Answer 1

Answer:

first in triangle PRS,

40°+115°+x° =180°( angle sum property of triangle )

therefore x° = 25°----------(1)

now, angle PRQ =180° - 115°( liners pair)

therefore angle PQR = 65°-------------(2)

similarly , in triangle PQR,

y°+90°+65°=180°(angle sum property of triangle){using ---------------(2)}

therefore ,y°=25° ---------------(3)

from --------(1) and ---------(2) we can say that x=y

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