Question

In the given figure ABAC = AQRP by SAS criterion of congruence. Find the value of x and y.
P
(3x + 10) cm
2x + 159
5x
60°
R
(5y + 15) cm​

Answer 1

Answer:

Correct option is

C

SAS

In the given triangle:

AB=AC

⇒∠B=∠C (As angles opposite to equal to opposite sides are equal.

AB=AC

AP+PB=AQ+QC

Now AP=AQ

⇒PB=QC

Now in △PBC and △QCB

PB=QC  (Proved above)

∠B=∠C (Proved above)

BC=CB  (Common side)

∴△PBC≅△QCB by SAS criteria.

Step-by-step explanation: