Angle Measures of Polygons Answers

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21
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In circle A, ∠BAE ≅ ∠DAE.

Question illustration
A
14
B
17
C
27
D
34
22
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AX and EX are secant segments that intersect at point X.

Question illustration
A
1 unit
B
3 units
C
4 units
Option C
D
4 units
Option D
23

A sprinkler is designed to water a circular area that has a radius of 7 feet. The sprinkler is located at (0,0) on a lawn. A flowerbed is planted 3 feet east and 6 feet south of the sprinkler.Determine if the distance from the flowerbed to the sprinkler places the flowerbed on or within the circular area that this sprinkler can water.

A
No. The flowerbed is 18 feet away from the sprinkler, which is more than the 7-foot radius.
B
Yes. The flowerbed is exactly 7 feet away from the sprinkler.
C
No. The flowerbed is 9 feet away from the sprinkler, which is more than the 7-foot radius.
D
Yes. The flowerbed is √45 feet away from the sprinkler, which is less than the 7-foot radius.
24

Line segment TS is tangent to circle O at point N.

Question illustration
A
37°
B
74°
C
148°
D
212°
25

Circle D is shown with the measures of the minor arcs.

Question illustration
A
∠EDH and ∠FDG
B
∠FDE and ∠GDH
C
∠GDH and ∠EDH
D
∠GDF and ∠HDG
26

Circle G is inscribed with triangle E F D. Point C is on the circle between points E and F. Angle E is 79 degrees. The measure of arc E D is 104 degrees.

Question illustration
A
52°
B
98°
C
158°
D
177°
27

Circle T is shown. Line segments T S, T R, T Q, and T P are radii. Lines are drawn to connect points S and R and points P and Q to form secants. Angles R T S and Q T P are congruent.

Question illustration
A
They always have equal measures.
B
The difference of their measures is 90°.
C
The sum of their measures is 180°.
D
Their measures cannot be equal.
28

Circle D is shown. Line segments D E, D F, D G, and D H are radii. Angle E D F is 55 degrees, angle F D G is 70 degrees, and angle G D H is 110 degrees.

Question illustration
A
Arc G H
Option A
B
Arc F H
Option B
C
Arc G E
Option C
D
Arc F G
Option D
29

On a coordinate plane, a circle has a center at (4, 5) and a radius of 3 units.

Question illustration
A
(x – 4)2 + (y – 5)2 = 2
B
(x – 4)2 + (y – 5)2 = 4
C
(x – 5)2 + (y – 4)2 = 2
D
(x – 5)2 + (y – 4)2 = 4
30

Point O is the center of the circle.

Question illustration
A
14 units
B
16 units
C
22 units
D
28 units

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