Respuesta :

altavistard
The 29 degree angle and the angle x are complementary; that is, they sum up to 90 degrees.  Thus, x + 29 = 90, and x = 61 (degrees).

Answer:

61

Step-by-step explanation:

The line segments form a right triangle, since we know that Q is tangent to the circle (tangents form a right triangle with the radius of the circle).

We have two angles of the right triangle, 29 and 90; their sum is 29+90 = 119.

Every triangle has a sum of 180°; this leaves x as

180 - 119 = 61

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