Respuesta :

Answer:

x = 11 , z = 116

Step-by-step explanation:

(9x - 15) and (5x + 9) are vertically opposite angles and are congruent, then

9x - 35 = 5x + 9 ( subtract 5x from both sides )

4x - 35 = 9 ( add 35 to both sides )

4x = 44 ( divide both sides by 4 )

x = 11

Then

5x + 9 = 5(11) + 9 = 55 + 9 = 64

z and 5x + 9 are adjacent angles on a straight line and sum to 180°, that is

z + 64 = 180 ( subtract 64 from both sides )

z = 116

Answer:

Depending depending whether your work is in relation to euclidean geometry. You can use the properties of straight lines in order to get your answer.

Step-by-step explanation:

  1. I'm going to presume that you used vertically opposite angles to get the value of x?
  2. So the answer for x = 11 so
  3. 3(11)+9 = 64 and 9(11)-35 = 64 [reason vertically opposite angles are equal]
  • So using angels around a point - angles around a point are equal to 360°
  • 360 - [64 + 64] = 232
  • 232 ÷ 2 = 116 so z = 116.