Question

A shelf is built on a wall, as shown below. What is the value of x?
(X+3) (2x-18)

Answer 1

x=25

Explanation:

90+2x-10+x+25=180

3x+105=180

-105 -105

3x/3 = 25/3

Leading to x=25

Answer 2

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;

`(x+3)+(2x-18)+90=180`

Simplifying, we get;

`3x+75=180`

Subtracting both sides by 75, we get;

`3x=105`

Dividing both sides of the equation by 3, we get;

`x=35`

Thus, the value of x is 35.