2016 · Q89
In the figure given above, p and q are parallel lines. What are the values of the angles x, y and z?
Elementary MathematicsGeometry: Lines, Angles and Triangles
- Ax = 80°, y = 40°, z= 100°
- Bx = 80°, y = 50°, z= 105°
- Cx = 70°, y = 40°, z= 110°
- Dx = 60°, y = 20°, z= 120°
Explanation
The figure has parallel lines p and q cut by transversals. Applying corresponding-angles, alternate-interior-angles and linear-pair rules to the marked angles gives x = 60° and y = 20°. The third angle follows as z = 120°, option D.