Question 1: Calculate the third angle in a triangle if two angles are 65° and 50°.

Answer: 65°

Question 2: Find the missing angle when angles are 70° and 45° in a triangle.

Answer: 65°

Question 3: A triangle has angles measuring 80° and 55°. What is the measure of the third angle?

Answer: 45°

Question 4: Calculate the third angle in a triangle where the other two angles are 90° and 45°.

Answer: 45°

Question 1: In an architectural design, a triangular window has two angles measuring 60° and 70°. Explain how to find the third angle and calculate its measure.

Answer: The third angle is 50° because 180° - 60° - 70° = 50°.

Question 2: A roof design involves a triangular gable with angles of 85° and 55°. Justify your approach and find the remaining angle.

Answer: The remaining angle is 40° because the sum must be 180°, so 180° - 85° - 55° = 40°.

Question 1: An architect designs a triangular support beam with angles measuring 75° and 45°. Determine the measure of the third angle and explain its significance in structural stability.

Answer: The third angle is 60°, calculated as 180° - 75° - 45° = 60°. This ensures the triangle's angles sum correctly for stability.

Question 2: A designer plans a triangular glass panel with two angles of 40° and 70°. Explain how the angle sum property helps ensure the panel fits into the architectural feature.

Answer: The third angle is 70°, found by subtracting 40° and 70° from 180°. Knowing the angles helps in precise cutting and fitting of the panel.

Question 1: In a design, a triangle's angles are in the ratio 2:3:4. Find all three angles and verify their sum.

Answer: Angles are 45°, 67.5°, and 67.5°, but since ratios are 2x:3x:4x, sum is 9x=180°; x=20°, so angles are 40°, 60°, and 80°.

Question 2: A triangular sculpture has an angle measuring 90°. The other two angles are in the ratio 1:2. Find these angles.

Answer: The two smaller angles are in ratio 1:2 and sum with 90° makes 180°. Let the smaller be x, then x + 2x + 90°=180°, so 3x=90°, x=30°, and the angles are 30° and 60°.

Question 1: A triangle has one angle of 50° and another of 65°. Find the third angle.

Answer: 65°

Question 2: If a triangle's angles are 85°, 45°, and x°, what is the value of x°?

Answer: 50°

Question 1: A student claims that in a triangle with angles 90° and 60°, the third angle is 30°. Is this correct? Explain and correct if needed.

Answer: Yes, it is correct because 180° - 90° - 60° = 30°.

Question 2: A student states that the sum of two angles in a triangle is 200°. Is this possible? Why or why not?

Answer: No, because the total sum of all three angles must be 180°, so their sum cannot exceed 180°.