Central Angles

Question 1

In circle D, ∠EDH ≅ ∠EDG.

Revolt · Accepted Answer

123°

Question 2

In circle T, ∠PTQ ≅ ∠RTS.

Revolt · Accepted Answer

4 units

Question 3

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.

Revolt · Accepted Answer

Arc G E

Question 4

Circle X is shown. Line segment X Y is a radius. Line segment Y Z is a tangent that intersects the circle at point Y. A line is drawn from point Z to point X and goes through a point on the circle. The length of the line segment from point X to the point on the circle is 8, and the length of the line segment from the point on the circle to point Z is 9.

Revolt · Accepted Answer

15 units

Question 5

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.

Revolt · Accepted Answer

The sum of their measures is 180°.

Question 6

QR is tangent to circle P at point Q.

Revolt · Accepted Answer

6.1 units

Question 7

In circle A, ∠BAE ≅ ∠DAE.

Revolt · Accepted Answer

17

Question 8

is tangent to circle P at point Q.

Revolt · Accepted Answer

37°

Question 9

Circle T has diameters RP and QS. The measure of ∠RTQ is 12° less than the measure of ∠RTS.

Revolt · Accepted Answer

96°

Question 10

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

Revolt · Accepted Answer

∠GDH and ∠EDH

Central Angles Answers

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