Question

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

Answer 1

Answer:

i. a = 7

ii. b = 7

iii. c = 14

Step-by-step 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