He completed the assignment but when his teacher checked he saw mistakes. Identify the correct option pointing out the mistake in the parts (i to iv). | Types of Angle | Observations |
| (i) Corresponding | \[\angle 1=\angle 5,\,\angle 3=\angle 7,\] \[\angle 2=\angle 6,\,\angle 4=\angle 8\] |
| (ii) Alternate interior | \[\angle 3=\angle 6,\,\angle 4=\angle 5\] |
| (iii) Vertically opposite | \[\angle 1=\angle 4,\,\angle 5=\angle 6\] |
| (iv) Alternate exterior | \[\angle 1=\angle 8,\,\angle 2=\angle 5\] |
A) Only (i)
B) Only (ii)
C) Both (i) and (iii)
D) Both (iii) and (iv)
Correct Answer: D
Solution :
(iii) \[\angle 1=\angle 4,\text{ }\angle 5=\angle 8\]are vertically opposite angles. Also, (iv) \[\angle 1=\angle 8,\text{ }\angle 2=\angle 7\]are alternate exterior angles.
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