Question 31
Triangles and QuadrilateralsThe angles of a quadrilateral are 5x − 30, 4x + 60, 60 − x and 3x + 61. Find the smallest of these angles.
- A.5x − 30
- B.4x + 60
- C.60 − x
- D.3x + 61
Show the answer and explanation
Answer: C (60 − x)
Explanation
The angles add up to 360°: 11x + 151 = 360, so x = 19. The angles are 65°, 136°, 41° and 118°, so the smallest is 60 − x.