find the values of x and y in the figure
pls it's urgent
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Step-by-step explanation:
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Answered by
1
Answer:
x = 100°
y = 4 cm
Step-by-step explanation:
In Δ PQR and Δ PSR,
∠ QPR = ∠ SPR ----- [given]
PQ = PS ----- [PS = PQ = 3 cm]
PR = PR ----- [common side]
∴ Δ PQR ≅ Δ PSR
⇒ QR = SR ----- [cpct]
∴ y = SR = 4 cm
Now, in Δ PSR, by angle sum property of a triangle,
∠ SPR + ∠ PRS + ∠ RSP = 180°
45° + 35° + ∠ RSP = 180°
∠ RSP = 100°
Now, as proved above Δ PQR ≅ Δ PSR
⇒ ∠ RSP = ∠ RQP = 100° ----- [cpct]
∴ x = ∠ RQP = 100°
Hope it helps!!!
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