Question 29
Angles and PolygonsThe interior angles of a quadrilateral are (x + 15)°, (2x − 45)°, (x − 30)° and (x + 10)°. Find the value of the least interior angle.
- A.102°
- B.52°
- C.82°
- D.112°
Show the answer and explanation
Answer: B (52°)
Explanation
The angles add to 360°: 5x − 50 = 360, so x = 82. The angles are 97°, 119°, 52° and 92°; the least is 52°.