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
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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:
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