A secant and a tangent meet at a 90° angle outside the circle. What must be the difference between the measures of the intercepted arcs?

45°
90°
180°
270°

Respuesta :

Answer:

C) 180

Step-by-step explanation:

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The difference between the intercepted arc is 180°

What is an angle?

An angle is formed from the intersection of two or more lines. Angles less than 90 degrees are called acute angles, angles greater than 90° are called obtuse angles while angles with a measure of 90° are called right angles.

Circle theorem states that if a tangent and a sectant, two tangent or two sectant meets outside a circle, the measure of the angle formed is half the difference between the intercepted arcs.

A secant and a tangent meet at a 90° angle outside the circle. Hence:

90° = (1/2) * difference between the intercepted arc

Difference between the intercepted arc = 180°

The difference between the intercepted arc is 180°

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