Question

angles. P R 35° 22 95° 85° 1 95° 60° 23 Q S. In the given figure, find the value of angle 1, angle 2, and angle 3, if PQ is Parallel to RS ​

Answer 1

Answer:

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Answer 2

Answer:

Given, PQIPS, PQ || SR, ZSQR =

28°, ZQRT 65°

According to the question, x+ZSQR = ZQRT (Alternate angles as QR is

transversal.)

⇒ x+28° = 65°

⇒x=37°

Also ZQSR = x

⇒ ZQSR = 37°

Also ZQRS + ZQRT = 180° (Linear pair)

⇒ ZQRS + 65° = 180°

⇒ ZQRS 115⁰

Now, ZP + ZQ + ZR+ZS= 360° (Sum of the

angles in a quadrilateral.)

⇒ 90° +65° +115° + ZS = 360°

⇒ 270° +y + ZQSR = 360°

⇒ 270° + y + 37° = 360°

⇒ 307° +y = 360°

⇒ y = 53°