Question

what is the value of x? 26 degrees tangent lines

Answer 1

Answer:

154°

Step-by-step explanation:

The central angle and the angle between the tangents are supplementary, so

x + 26° = 180° ( subtract 26° from both sides )

26 - 26 = 0

180 - 26 = 154

x = 154°

Answer 2

The value of the x will be 154°.

How to find the interior central angle?

The central angle and the angle between the tangents are supplementary.

If there is a circle O with tangent line L intersecting the circle at point A, then the radius OA is perpendicular to line L.

So,

x + 26° = 180°

Subtract 26° from both sides;

x + 26 - 26 =  180 - 26

x = 154°

Hence, the value of the x will be 154°.

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