Question

find the value of x and y​

Answer 1

Answer:

x=16, y=8

Step-by-step explanation:

PS bisects angle QPR that means that sides opposite to angle QPS and RPS are equal

QS = RS

x = 2y

now you have one relation.

now in triangles QSP and RSP

QS = RS

angle QPS = angle RPS

and there are right angled triangles as well

so they are congruent by RHS and also SAS since PS = PS (common)

PQ = PR by CPCTC

2x = 3y+8

4y = 3y+8

y=8

x = 2(8) = 16