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

The correct option is D

both B and C

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

By laws of reflection,

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

Also, $\angle$1 + $\angle$2 = ${90}^{\circ }$ (Normal)

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

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

$\Rightarrow$ $\angle$2 = $\angle$3 and $\angle$1 = $\angle$4