Hello!
We can say that:
Let's go!
Calculate x, knowing that angles opposite the vertex have the same value: ↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓
- 4x - 21 = 2x + 7
- 4x - 2x = 7 + 21
- 2x = 28
- x = [tex]\dfrac{28}{2}[/tex]
- x = 14
To know the value of y, just calculate when the angle 4x - 21 ° is worth, as we already have the value of x. Then just do another equation.
Now, we calculate:
- 6y + 37 + 35 = 180
- 6y + 72 = 180
- 6y = 180 - 72
- 6y = 108
- y = [tex]\dfrac{108}{6}[/tex]
- y = 18
Now, we calculate z:
- 180 - 35 → (35 is the value of 4x - 21 angle, and the adjacent angle of 2x + 7 is same to 10z + 15)
- = 145
- Now, we calculate:
- 10z + 15 = 145
- 10z = 145 - 15
- 10z = 130
- z = [tex]\dfrac{130}{10}[/tex]
- z = 13
Is important stand out what the draw isn't in the correct scale.
Hope this helps!!!! Good studies! ☺
