2020 · Q93
In the given figure, if y/x = 6 and z/x = 5, then what is the value of x?
Elementary MathematicsGeometry: Lines, Angles and Triangles
- A45°
- B30°
- C15°
- D10°
Explanation
The angles x, y, z lie on a straight line, so x + y + z = 180°. With y = 6x and z = 5x, this gives x + 6x + 5x = 12x = 180°, so x = 15. As a check, 15 + 90 + 75 = 180°.