Respuesta :

Answer :

Part 17: The value of x is 5.

Part 18: The value of x is 2°.

Step-by-step explanation :

Part 17:

Given:

Length SR = 2x - 9

Length RQ = x + 6

Length SQ = 12

Now we have to determine the value of x.

Length SQ = Length SR + Length RQ

12 = (2x - 9) + (x + 6)

12 = 2x - 9 + x + 6

12 = 3x - 3

3x = 15

x = 5

The value of x is 5.

Part 18:

Given:

∠MLK = 81x - 2

∠HLK = 54x + 2

∠MLH = 50°

Now we have to determine the value of x.

∠MLK = ∠HLK + ∠MLH

81x - 2 = 54x + 2 + 50°

81x - 2 - 54x - 2 = 50°

27x - 4 = 50°

27x = 54°

x = 2°

The value of x is 2°