Given that in ΔABC side AB = (3x +10)cm, ∠A = 2x +15° and in ΔPQR side QR = (5y + 15)cm, ∠R = 5x - 60°. Also ΔBAC = ΔQRP by SAS criterion of congruence.
Calculate and select the correct values of x and y.
Answers
Answer:
is angel r is 5y-60 then ans in above attachment
Step-by-step explanation:
actually angle r should be 5y-60 see the question again if yes then here is your ans
snd also ther is three attachment just slide it over and se
Given : ΔABC side AB = (3x +10)cm, ∠A = 2x +15°
ΔPQR side QR = (5y + 15)cm, ∠R = 5x - 60°.
ΔBAC = ΔQRP by SAS criterion of congruence.
To Find : values of x and y.
Solution:
ΔBAC ≅ ΔQRP by SAS
=>AB = QR
and ∠A = ∠R
AB = QR
AB = 3x +10
QR = 5y + 15
=> 3x + 10 = 5y + 15
=> 3x = 5y + 5
∠A = ∠R
∠A = 2x +15°
, ∠R = 5x - 60°.
=> 2x +15° = 5x - 60°.
=> 3x = 75°
=> x = 25
3x = 5y + 5
=> 3(25) = 5y + 5
=> 5y = 70
=> y = 14
x = 25
y = 14
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