Answer:
x = 21.7°
Step-by-step explanation:
We know that the sum of the three angles in triangle add up to a total of 180°.
So adding the given expressions of angles and putting them equal to 180 to find the value of x:
[tex](3x-5) + (2x+20) +(4x-30)= 180[/tex]
[tex]4x+3x+2x+20-30-5=180[/tex]
[tex]9x=180+30-20+5[/tex]
[tex]9x=195[/tex]
[tex]x=\frac{195}{9}[/tex]
[tex]x=21.7[/tex]
Therefore, the value of x in a triangle with angles 3x-5, 2x+20, 4x-30 is equal to 21.7°.
