Question

Using the information given in the figure, the values of x and y are

• A.
  x = 9, y = 15
• B.
  x = 15, y = 9
• C.
  x = 9, y = 3
• D.
  x = 3, y = 9

Answer 1

The correct option is B

x = 15, y = 9
In the figure its shown that side PQ and QR are equal.
so,
96 = 6x + 6
6x = 96 - 6
x = 90/6
= 15
By using RHS congruence rule, Δ PQN and Δ RQN are congruent.
so,
3y - 9 = 18
3y = 18 + 9
y = 27/3
= 9