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17 January, 07:55

Line segment SU is a diameter of circle V.

Circle V is inscribed with triangle S T U. Line S U is a diameter. Lines S T and T U are secants. Angle S T U intercepts arc T U and has a measure of 34 degrees.

What is the measure of arc S T?

56°

68°

112°

163°

+3
Answers (1)
  1. 17 January, 09:30
    0
    A. 56

    Step-by-step explanation:

    Based on the figure given:

    Angle S is equal to 34 degrees.

    The triangle is inscribed in a circle, we can assume that the triangle is a right triangle.

    Thus, the measure of angle U is

    180 - 90 - 34 = 56 degrees.

    This is equivalent to the measure of the arc opposite the angle. Therefore, the measure of arc ST is also 56 degrees.
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