Math, asked by shrivastavashivani59, 6 months ago

2. In parallelogram PQRS, ZQ = (4x - 5)º and
ZS = (3x + 10). Calculate :
why is q and r =180​

Answers

Answered by nawednawaz333
6

Answer:

In parallelogram PQRS,(shown in image)

∠Q = (4x – 5)° and ∠S = (3x + 10)°

opposite ∠s of //gm are equal.

∠Q = ∠S

4x – 5 = 3x + 10

4x – 3x = 10 + 5

x = 15

∠Q = 4x – 5 =4 x 15 – 5 = 55°

Also ∠Q + ∠R = 180°

55° + ∠R = 180°

∠R = 180°- 55° = 125°

∠Q = 55° ; ∠R = 125°

Step-by-step explanation:

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