Question 1: Calculate the missing angle if two angles at a point measure 120° and 150°.

Answer: 90

Question 2: A point has four angles around it: 80°, 100°, and two unknown angles. Find the measures of the unknown angles.

Answer: 80 and 100

Question 3: In a diagram, three angles at a point are 110°, 70°, and an unknown angle. Find the unknown.

Answer: 180

Question 4: Construct a diagram where four angles at a point are 90°, 45°, and two unknown angles. Calculate the unknown angles.

Answer: 135 and 90

Question 5: A clock shows three hands: hour, minute, and second, forming angles at a point. If the minute hand is at 90° and the second hand at 180°, what is the measure of the angle between the hour and minute hands?

Answer: 135

Question 6: A regular hexagon has angles at a point where three sides meet. Calculate the measure of each angle at the point where three sides intersect.

Answer: 120

Question 7: Identify and correct the mistake: 'Angles at a point always add up to 180°.'

Answer: They add up to 360°

Question 8: A star-shaped figure has 5 angles at a point. Four of the angles are 72°, 108°, 90°, and 84°. Find the fifth angle.

Answer: 6

Question 9: A real-world scenario: Two roads intersect, forming angles of 145° and 85°. What are the measures of the other two angles at the intersection?

Answer: 145° and 85°

Question 10: Challenge: Two angles at a point are each 150°. Find the measure of the third angle, assuming the angles form a straight line with a fourth angle.

Answer: 60

Question 11: Mixed review: A pentagon has its vertices connected to a point inside, creating several angles at that point. If four of these angles are 75°, 85°, 95°, and 100°, what is the measure of the remaining angle?

Answer: 5