Mathematics
In the given figure, AB || CD || EF. Find x, y and z.

Lines & Angles
1 Like
Answer
Consider AB || CD and AD is a transversal:
x° = 140° [Alternate angles]
Since, x°, y° and 120° meet at same point D and form a complete angle:
x° + y° + 120° = 360°
⇒ 140° + y° + 120° = 360° [Substituting the value of x]
⇒ 260° + y° = 360°
⇒ y° = 360° - 260°
⇒ y° = 100°
y° and z° are co-interior angles.
Co-interior angles are supplementary:
∴ y° + z° = 180°
⇒ 100° + z° = 180° [Substituting the value of y]
⇒ z° = 180° - 100°
⇒ z° = 80°
x° = 140°, y° = 100° and z° = 80°
Answered By
1 Like




