Answer:C
Step-by-step explanation:
The measure of Arc AU of the given Circle Geometry is; 50°
<h3>How to find the measure of arc angle?</h3>
The circle theorem we will apply to solve for the arc measure states that “Measure of angles subtended to any point on the circumference of the circle from the same arc is equal to half of the angle subtended at the center by the same arc.”
We can express the above theorem as;
Angle at the center = 2 × Angle at the circumference
From the attached image below and from the given statement in the question, we are given that; ∠QUA = 111°
Therefore, applying the circle theorem earlier quoted, we can say that; m∠QDA = 2 × ∠QUA
m∠QDA = 2 × 111° = 222°
Which gives;
∠QOA = = 360° - 222° = 138°
∠QOA = ∠QOU + ∠UOA (by angle addition property)
Thus;
∠QOA = 138° = 88° + ∠UOA
∠UOA = 138° - 88° = 50°
Thus, the measure of Arc AU is;
Arc AU = ∠UOA = 50°
Read more about arc angle at; brainly.com/question/27890907
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The answer will be the letter B
Answer:
TB = 5.5 units
Step-by-step explanation:
Segment AB has a length of 22 units, then half of the segment has the length of 11 units.
If X is the midpoint of AB, then
AX = XB = 11 units.
Half of segments AX and XB have the measures of 5.5 units.
If T is the midpoint of XB, then
XT = TB = 5.5 units.