Question

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

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

Answer 1

Answer: (D)

both (b) and (c)

∠2 = ${30}^{\circ }$

By law's of reflection

⇒ ∠2 = ∠3 = ${30}^{\circ }$

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

⇒ ∠1 = ${60}^{\circ }$

Similarly ∠4 = ${60}^{\circ }$

⇒ ∠2 = ∠3 and also ∠1 = ∠4