Question

18. In the adjoining figure, PQISQ. Show thatx=y.​

Answer 1

Answer:

In a parallelogram, we know that the diagonals bisect each other.

Therefore SO=OQ.

This given 16=x+y.

Similarly, PO=OR,

20=y+7. We obtain

y=20−7=13 cm.

Substituting the value of y in the first relation, we get 16=x+13.

x=16−13

x=3

Hence, the value of x=3 cm

y=13 cm

Answer 2

Step-by-step explanation:

Given that angle PRS = 115°

Then, angle PRQ = 180° - 115° = 65°

Since, sum of the angles in a triangle is 180°

y° = 180° - (90° + 65°) = 25

x° = 180° - (115° + 40°)

= 25°

Hence x° = y°

Hope this helps (◍•ᴗ•◍)❤