Question

Which of the following pairs of angle will be equal in the given figure. Given $\angle 2={30}^{\circ }$

• A. ∠1= ∠3
• B. ∠2 = ∠3
• C. ∠1 = ∠4
• D. both (b) and (c)

Answer 1

Answer: (B), (C)

The correct options are
B

∠2 = ∠3

C

∠1 = ∠4

$\angle 2={30}^{\circ }$

By law's of reflection

$\to \angle 2=\angle 3={30}^{\circ }$

Also $\angle 1+\angle 2={90}^{\circ }$ (∵ normal)

$\to \angle 1={60}^{\circ }$

Similarly $\angle 4={60}^{\circ }$

$\to \angle 2=\angle 3andalso\angle 1=\angle 4$