Question

I need to know if it’s A b c or D

Answer 1

The value of x is 1.

Step - by - Step Explanation

What to find? The value of x.

Given:

From the diagram,

• Inscribed angle = 70°

,

• arc length = 141x - 1

The formula we can use to solve the given problem is;

`\text{Inscribed angle =}(1)/(2)(\text{ length of arc)}`

Substitute the values into the formula.

`70=(1)/(2)(141x\text{ - 1)}`

Simplify the above.

To simplify, first multiply both-side of the equation by 2.

`70*2=\cancel{2}*\frac{1}{\cancel{2}}(141x-1)`

140 = 141x - 1

Add 1 to both-side of the equation.

140 + 1 = 141x -1 + 1

141 = 141x

Divide both-side of the equation by 141.

`\frac{\cancel{141}x}{\cancel{141}}=(141)/(141)`

x = 1