Respuesta :

Answer:

x = 42

Step-by-step explanation:

The angle between the tangent and the secant is

[tex]\frac{1}{2}[/tex] difference of the measure of the intercepted arcs, that is

x = 0.5( 136 - 52) = 0.5 × 84 = 42

Answer:

[tex]\Large \boxed{\sf 42}[/tex]

Step-by-step explanation:

Apply tangent secant exterior angle measure theorem

If a tangent and a secant intersect in the exterior of a circle, then the measure of the angle formed is 1/2 the difference of the measures of its intercepted arcs.

[tex]\displaystyle \frac{1}{2} \times(136-52)=42[/tex]

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