Question 12 of 15beginner🔧 ApplyNumerical4 marks
Find the third angle of a triangle (using a parallel line) when two of the angles are: (a) 36°, 72° (b) 150°, 15° (c) 90°, 30° (d) 75°, 45°
(a)
Answer
Third angle = 180° - 36° - 72° = 72°.
(b)
Answer
Third angle = 180° - 150° - 15° = 15°.
(c)
Answer
Third angle = 180° - 90° - 30° = 60°.
(d)
Answer
Third angle = 180° - 75° - 45° = 60°.
Explanation
(a) Sum of given angles = 108°, so third angle = 180° - 108° = 72°. (b) Sum of given angles = 165°, so third angle = 180° - 165° = 15°. (c) Sum of given angles = 120°, so third angle = 180° - 120° = 60°. (d) Sum of given angles = 120°, so third angle = 180° - 120° = 60°.