Question 1: Calculate the missing interior angle of a quadrilateral if three angles measure 85°, 90°, and 100° respectively.

Answer: 85

Question 2: In a quadrilateral, one angle measures 60°, and another measures 110°. What is the sum of the remaining two angles?

Answer: 190

Question 3: Two angles of a quadrilateral are 90° and 85°. The remaining two angles are equal. Find the measure of each remaining angle.

Answer: 92.5

Question 4: Construct a quadrilateral where three interior angles are 70°, 80°, and 100°. Use the grid to draw and label the shape.

Answer: Remaining angle = 110°

Question 5: A parallelogram has one interior angle measuring 75°. What are the measures of the other three angles?

Answer: 105, 105, 75

Question 6: A quadrilateral has angles measuring 100°, 85°, and 90°. The fourth angle is supplementary to the first. Find the measure of the fourth angle.

Answer: 85

Question 7: In a real-world scenario, a garden bed is shaped like a quadrilateral with interior angles summing to 360°. If three of its angles are 95°, 85°, and 90°, what is the measure of the fourth angle?

Answer: 90

Question 8: A shape is drawn with four angles. The angles are 120°, 90°, and 75°. The fourth angle is twice the measure of the second. Calculate the measure of the fourth angle.

Answer: 150

Question 9: Challenge: A quadrilateral has three angles measuring 85°, 95°, and 80°. The four vertices are labeled A, B, C, D. If angle A is 10° more than angle C, find the measures of angles A and C.

Answer: A=105°, C=95°

Question 10: Error Analysis: A student claims that if three angles of a quadrilateral are 85°, 90°, and 100°, the fourth angle must be 85° because all angles are equal. Is this correct? Explain your reasoning.

Answer: No, the fourth angle is 85° only if the quadrilateral is a square; otherwise, angles can differ. The missing angle is 85°, but assuming all are equal is incorrect unless specified.