Question

I need help solving this, Solve For X

Answer 1

x = 270°

Explanation:

Angles between two tangent is half of the difference between major arc and minor arc.

Major arc = x°

Minor arc = (360 - x)°

`\sf \boxed{\bf angle \ between \ two \ tangents = (major \ arc - minor \ arc)/(2)}`

`90^\circ = (x - (360 -x))/(2)\\\\90 = (x - 360 + x)/(2)\\`

90 * 2 = 2x - 360

180 = 2x - 360

Add 360 to both sides,

180 + 360 = 2x

540 = 2x

Divide both sides by 2,

540 ÷ 2 = x

`\sf \boxed{x = 270^\circ}`