Answer:
The value of x = 7
Step-by-step explanation:
Given the right triangle
- We know that the sum of angles of a triangle is 180°.
so
Right angle + α + β = 180°
90° + 4x+7 + 8x-1 = 180
Group like terms
[tex]4x+8x+90+7-1=180[/tex]
Add similar elements: :4x+8x=12x
[tex]12x+90+7-1=180[/tex]
[tex]12x+96=180[/tex]
[tex]12x=84[/tex]
Divide both sides by 12
[tex]\frac{12x}{12}=\frac{84}{12}[/tex]
[tex]x = 7[/tex]
Therefore, the value of x = 7
