Interactive MCQs on the topic “Angles In The Same Segment”:
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Question 1: In a circle, if two angles are subtended by the same chord, what is the relationship between these angles? a) They are complementary b) They are supplementary c) They are equal d) They are congruent Answer: c) They are equal Explanation: Angles subtended by the same chord in a circle are equal. Question 2: If an angle in a circle measures 60 degrees, what is the measure of its corresponding angle in the same segment? a) 30 degrees b) 60 degrees c) 120 degrees d) 180 degrees Answer: c) 120 degrees Explanation: The corresponding angle in the same segment is supplementary to the given angle, so it is 180 - 60 = 120 degrees. Question 3: In a circle, if two angles are in the same segment, what is the relationship between their measures? a) They are complementary b) They are supplementary c) They are equal d) They are congruent Answer: c) They are equal Explanation: Angles in the same segment of a circle are always equal. Question 4: If an angle in a circle measures 90 degrees, what is the measure of its opposite angle in the same segment? a) 90 degrees b) 180 degrees c) 270 degrees d) 360 degrees Answer: a) 90 degrees Explanation: Opposite angles in the same segment of a circle are equal. Question 5: If an angle in a circle is a right angle (90 degrees), what is the measure of the angle subtended by the same chord? a) 45 degrees b) 90 degrees c) 180 degrees d) 360 degrees Answer: b) 90 degrees Explanation: The angle subtended by the same chord as a right angle is also a right angle. Question 6: In a circle, if an angle measures 120 degrees, what is the measure of its adjacent angle in the same segment? a) 30 degrees b) 60 degrees c) 120 degrees d) 240 degrees Answer: a) 30 degrees Explanation: Adjacent angles in the same segment are supplementary, so the adjacent angle is 180 - 120 = 60 degrees. Question 7: If an angle in a circle is a straight angle (180 degrees), what is the measure of its opposite angle in the same segment? a) 90 degrees b) 180 degrees c) 270 degrees d) 360 degrees Answer: a) 90 degrees Explanation: Opposite angles in the same segment of a circle are equal. Question 8: In a circle, if an angle measures 45 degrees, what is the measure of its corresponding angle in the same segment? a) 45 degrees b) 90 degrees c) 135 degrees d) 180 degrees Answer: c) 135 degrees Explanation: The corresponding angle in the same segment is supplementary to the given angle, so it is 180 - 45 = 135 degrees. Question 9: If an angle in a circle is acute, what is the measure of the angle subtended by the same chord? a) Acute b) Right c) Obtuse d) Reflex Answer: a) Acute Explanation: The angle subtended by the same chord as an acute angle is also acute. Question 10: In a circle, if two angles are in the same segment and one measures 75 degrees, what is the measure of the other angle? a) 75 degrees b) 105 degrees c) 135 degrees d) 180 degrees Answer: b) 105 degrees Explanation: Angles in the same segment of a circle are equal, so the other angle also measures 75 degrees.