Question

Find the value of x
(8x-1) (4x+7)

Answer 1

The value of x = 7

Explanation:

Given the right triangle

• Right angle = 90°

• α = (4x+7)°

• β = (8x-1)°

• 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

`4x+8x+90+7-1=180`

Add similar elements: :4x+8x=12x

`12x+90+7-1=180`

`12x+96=180`

`12x=84`

Divide both sides by 12

`(12x)/(12)=(84)/(12)`

`x = 7`

Therefore, the value of x = 7