An inscribed angle in a circle intercepts an arc whose measure is greater than 180 The angle is..

Alway acute
Sometime acute
Never acute

The correct option is;

Never acute

Step-by-step explanation:

When an angle intercepts an ark, we have;

The legs of the angle meets with the endpoints of the arc

Therefore, given that the arc is greater than 180°, and that the angle of the arc is the angle defined at the center of the circle, while the angle defined by the inscribed angle is defined at the circumference of the circle

By circle theorem, the angle at the center is twice that at the circumference, whereby the angle of the arc > 180°, the angle at the subtended by the inscribed angle will > 180°/2, which is > 90° or an obtuse angle

this linear equation would have just one solution.

step-by-step explanation:

the reason why this would have one solution is that it is an expression with just one variable. since that variable is not raised to a power, it will always have just one solution.

x = 3 ± √(5+y)