Given:
A shelf is built on a wall. The angles of the triangle are given as (x + 3)°, (2x - 18)° and 90°
We need to determine the value of x.
Value of x:
By triangle sum property, the angles in a triangle always add up to 180°
Thus, we have;
[tex](x+3)+(2x-18)+90=180[/tex]
Simplifying, we get;
[tex]3x+75=180[/tex]
Subtracting both sides by 75, we get;
[tex]3x=105[/tex]
Dividing both sides of the equation by 3, we get;
[tex]x=35[/tex]
Thus, the value of x is 35.
Answer:
x=25
Step-by-step explanation:
90+2x-10+x+25=180
3x+105=180
-105 -105
3x/3 = 25/3
Leading to x=25
