Question

a)In the parallelogram PQRS,<P=(8x+20)°and<R=(10x-10)°.Find

the value of Xand <Q​

Answer 1

Answer:

x = 15

∠Q=40°

Step-by-step explanation:

opposite angles of a parallelogram are equal.

So, 8x + 20 = 10x - 10

10x-10 = 8 x +20

⇒10x - 8x = 20+10

2x=30

x = 30/2

= 15

SO ∠P= 8 * 15 + 20 = 140°

∠R = 10 * 15 -10 = 140°

sum of adjacent angles of parallelogram is 180°

∠R + ∠ Q = 180

140 + ∠Q = 180

∠Q = 180-140

      = 40°

Answer 2

Answer:

15

40°

Explanation:

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