Question

PQRS is a parallelogram. Find the values of a and b. Solve for the value of c, if c=a+b.

Answer 1

i. a = 7

ii. b = 7

iii. c = 14

Explanation:

1. In a parallelogram, the pair of opposite sides are equal, thus;

6a + 10 = 8a -4

4 + 10 = 8a - 6a

14 = 2a

Divide both sides by 2,

a = 7

2. <SPQ + <PSR =
`180^(0)`

(18b - 11) + (9b + 2) =
`180^(0)`

18b + 9b + 2 -11 =
`180^(0)`

27b -9 =
`180^(0)`

27b =
`180^(0)` +
`9^(0)`

27b =
`189^(0)`

Divide both sides by 27,

b = 7

Therefore,

c = a + b

= 7 + 7

= 14

c = 14