In the given figure, AB and CD are parallel lines. If ∠EGB = 50°, what is the value of ∠CHG?
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → 130°
When a transversal cuts two parallel lines, corresponding angles are equal, and two angles on a straight line add up to 180°.
∠EGB and ∠GHD are corresponding angles (each lies above its line, to the right of the transversal), so ∠GHD \(=50^\circ\)
∠CHG and ∠GHD form a straight angle on line CD, so ∠CHG \(=180^\circ-50^\circ=130^\circ\)
