Angles in Circles and Triangles

What is the relationship between the angle subtended by an arc at the center of a circle and the angle subtended by the same arc on the circle?

• The angle at the center is three times the angle on the circle.

• The angle at the center is half the angle on the circle.

• The angles are equal.

• The angle at the center is twice the angle on the circle.

What type of angle is always formed by a major arc at the center of a circle?

• Acute angle

• Obtuse angle

• Right angle

• Reflex angle

If an angle subtended by an arc at the center is 100°, what is the angle subtended by the same arc on the circle?

• 50°

• 100°

• 200°

• 25°

In a circle, if the angle at the center is 2a, what is the reflex angle at the center?

• 360° - a

• 360° - 2a

• 180° - a

• 180° - 2a

What is the sum of the interior angles of a triangle?

• 360°

• 180°

• 90°

• 270°

What is the theorem regarding angles subtended by an arc on the same segment of a circle?

• They are complementary.

• They are reflex angles.

• They are supplementary.

• They are equal.

If two angles are subtended by the same arc on the same segment, what can be said about these angles?

• They are equal.

• They are reflex angles.

• They are complementary.

• They are supplementary.

What is the angle formed in a semicircle?

• Reflex angle

• Obtuse angle

• Right angle

• Acute angle

If PSQ is a diameter of a circle, what is the angle subtended by any point on the circle?

• Obtuse angle

• Right angle

• Acute angle

• Reflex angle

What is the reason for two lines being parallel if corresponding angles are equal?

• They are perpendicular.

• They are alternate angles.

• They are supplementary angles.

• They are corresponding angles.