Question

In rectangle READ, find ∠EAR, ∠RAD and ∠ROD

Answer 1

Given, ∠ROE = 60°

According to given figure, 

∠AOE = 120°, ∠AOD = 60° and ∠ROD = 120°.

⇒ In triangle AOE, consider ∠EAR = ∠DEA = x

∠AOE + ∠EAR + ∠DEA = 180°

x + x + 120 = 180°

2x + 120° = 180°

2x = 60°

x = 30°, i.e. ∠EAR = 30°

⇒ In triangle AOD, consider ∠RAD, = ∠EDA = y

∠RAD + ∠EAR + ∠AOD = 180°

y + y + 60° = 180°

2y = 120°

y = 60°, i.e. ∠RAD = 60°.