Question
In figure, three coplanar lines intersect at a point O, forming angles as shown in the figure. Find the values of x, y, z and u.
✓
Answer
$\text{z}=\angle\text{BOD}=90^\circ$ [vertically opposite angle]$\text{y}=\angle\text{DOF}=50^\circ$ [vertically oppposite angle]
Now,
x + y + z = 180°
⇒ x + 90° + 50° = 180°
⇒ x = 180° - 140° = 40°
Now,
x + y + z = 180°
⇒ x + 90° + 50° = 180°
⇒ x = 180° - 140° = 40°
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